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212212432332032 = 2811612701145737
BaseRepresentation
bin110000010000000110001110…
…101001010110010100000000
31000211101022101021121202021012
4300100012032221112110000
5210303342030134111112
62031201013501420052
762461561621343156
oct6020061651262400
91024338337552235
10212212432332032
1161687872759420
121b97423626a628
139154714884302
143a591ca8c13d6
1519801ebb03022
hexc1018ea56500

212212432332032 has 144 divisors (see below), whose sum is σ = 469707772653504. Its totient is φ = 94873294848000.

The previous prime is 212212432332011. The next prime is 212212432332113. The reversal of 212212432332032 is 230233234212212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 212212432332032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639818668 + ... + 4639864404.

It is an arithmetic number, because the mean of its divisors is an integer number (3261859532316).

Almost surely, 2212212432332032 is an apocalyptic number.

212212432332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212432332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234853886326752).

212212432332032 is an abundant number, since it is smaller than the sum of its proper divisors (257495340321472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212212432332032 is a wasteful number, since it uses less digits than its factorization.

212212432332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72836 (or 72822 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 212212432332032 its reverse (230233234212212), we get a palindrome (442445666544244).

The spelling of 212212432332032 in words is "two hundred twelve trillion, two hundred twelve billion, four hundred thirty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 256 352 488 671 704 976 1342 1408 1952 2684 2816 3904 5368 7808 10736 15616 21472 27011 42944 45737 54022 85888 91474 108044 171776 182948 216088 297121 365896 432176 503107 594242 731792 864352 1006214 1188484 1463584 1647671 1728704 2012428 2376968 2789957 2927168 3295342 3457408 4024856 4753936 5579914 5854336 6590684 6914816 8049712 9507872 11159828 11708672 13181368 16099424 18124381 19015744 22319656 26362736 30689527 32198848 36248762 38031488 44639312 52725472 61379054 64397696 72497524 76062976 89278624 105450944 122758108 128795392 144995048 178557248 210901888 245516216 289990096 357114496 421803776 491032432 579980192 714228992 982064864 1159960384 1235402107 1964129728 2319920768 2470804214 3928259456 4639841536 4941608428 7856518912 9883216856 13589423177 19766433712 27178846354 39532867424 54357692708 75359528527 79065734848 108715385416 150719057054 158131469696 217430770832 301438114108 316262939392 434861541664 602876228216 828954813797 869723083328 1205752456432 1657909627594 1739446166656 2411504912864 3315819255188 3478892333312 4823009825728 6631638510376 9646019651456 13263277020752 19292039302912 26526554041504 53053108083008 106106216166016 212212432332032