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212201120 = 2551929283
BaseRepresentation
bin11001010010111…
…10111010100000
3112210021221012202
430221132322200
5413310413440
633020112332
75154452105
oct1451367240
9483257182
10212201120
11a986692a
125b0956a8
1334c699c1
142027aaac
1513969615
hexca5eea0

212201120 has 144 divisors (see below), whose sum is σ = 553119840. Its totient is φ = 76704768.

The previous prime is 212201071. The next prime is 212201137. The reversal of 212201120 is 21102212.

It is a happy number.

212201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556599 + ... + 2556681.

It is an arithmetic number, because the mean of its divisors is an integer number (3841110).

Almost surely, 2212201120 is an apocalyptic number.

212201120 is a gapful number since it is divisible by the number (20) 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 212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276559920).

212201120 is an abundant number, since it is smaller than the sum of its proper divisors (340918720).

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

212201120 is a wasteful number, since it uses less digits than its factorization.

212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 212201120 is about 14567.1246304822. The cubic root of 212201120 is about 596.4616935141.

Adding to 212201120 its reverse (21102212), we get a palindrome (233303332).

The spelling of 212201120 in words is "two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 83 95 116 145 152 160 166 190 232 290 304 332 380 415 464 551 580 608 664 760 830 841 928 1102 1160 1328 1520 1577 1660 1682 2204 2320 2407 2656 2755 3040 3154 3320 3364 4205 4408 4640 4814 5510 6308 6640 6728 7885 8410 8816 9628 11020 12035 12616 13280 13456 15770 15979 16820 17632 19256 22040 24070 25232 26912 31540 31958 33640 38512 44080 45733 48140 50464 63080 63916 67280 69803 77024 79895 88160 91466 96280 126160 127832 134560 139606 159790 182932 192560 228665 252320 255664 279212 319580 349015 365864 385120 457330 511328 558424 639160 698030 731728 914660 1116848 1278320 1326257 1396060 1463456 1829320 2233696 2556640 2652514 2792120 3658640 5305028 5584240 6631285 7317280 10610056 11168480 13262570 21220112 26525140 42440224 53050280 106100560 212201120