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212358348972 = 22347118512039
BaseRepresentation
bin1100010111000110001…
…0110100000010101100
3202022010121200212020000
43011301202310002230
511434402214131342
6241320040224300
721225303116640
oct3056142640254
9668117625200
10212358348972
118207382a750
12351a646b090
13170437a10c3
14a3c7540c20
1557cd3cc44c
hex31718b40ac

212358348972 has 120 divisors (see below), whose sum is σ = 692130996480. Its totient is φ = 55158006240.

The previous prime is 212358348947. The next prime is 212358349001. The reversal of 212358348972 is 279843853212.

212358348972 is a `hidden beast` number, since 2 + 12 + 3 + 5 + 83 + 489 + 72 = 666.

It is a super-2 number, since 2×2123583489722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4231072 + ... + 4280967.

It is an arithmetic number, because the mean of its divisors is an integer number (5767758304).

Almost surely, 2212358348972 is an apocalyptic number.

212358348972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212358348972 is an abundant number, since it is smaller than the sum of its proper divisors (479772647508).

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

212358348972 is a wasteful number, since it uses less digits than its factorization.

212358348972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512073 (or 8512062 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 212358348972 in words is "two hundred twelve billion, three hundred fifty-eight million, three hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 8512039 17024078 25536117 34048156 51072234 59584273 76608351 93632429 102144468 119168546 153216702 178752819 187264858 229825053 238337092 280897287 306433404 357505638 374529716 459650106 536258457 561794574 655427003 689475159 715011276 842691861 919300212 1072516914 1123589148 1310854006 1378950318 1608775371 1685383722 1966281009 2145033828 2528075583 2621708012 2757900636 3217550742 3370767444 3932562018 4826326113 5056151166 5898843027 6435101484 7584226749 7865124036 9652652226 10112302332 11797686054 15168453498 17696529081 19305304452 23595372108 30336906996 35393058162 53089587243 70786116324 106179174486 212358348972