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212107368 = 2331117167283
BaseRepresentation
bin11001010010010…
…00000001101000
3112210010011121110
430221020001220
5413244413433
633014110320
75153611554
oct1451100150
9483104543
10212107368
11a9802450
125b04b3a0
1334c36125
1420254864
151394b963
hexca48068

212107368 has 128 divisors (see below), whose sum is σ = 618347520. Its totient is φ = 59919360.

The previous prime is 212107367. The next prime is 212107369. The reversal of 212107368 is 863701212.

It is an interprime number because it is at equal distance from previous prime (212107367) and next prime (212107369).

It is not an unprimeable number, because it can be changed into a prime (212107367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749355 + ... + 749637.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 2212107368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212107368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309173760).

212107368 is an abundant number, since it is smaller than the sum of its proper divisors (406240152).

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

212107368 is a wasteful number, since it uses less digits than its factorization.

212107368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 212107368 is about 14563.9063441097. The cubic root of 212107368 is about 596.3738402016.

The spelling of 212107368 in words is "two hundred twelve million, one hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 167 187 204 264 283 334 374 408 501 561 566 668 748 849 1002 1122 1132 1336 1496 1698 1837 2004 2244 2264 2839 3113 3396 3674 4008 4488 4811 5511 5678 6226 6792 7348 8517 9339 9622 11022 11356 12452 14433 14696 17034 18678 19244 22044 22712 24904 28866 31229 34068 37356 38488 44088 47261 52921 57732 62458 68136 74712 93687 94522 105842 115464 124916 141783 158763 187374 189044 211684 249832 283566 317526 374748 378088 423368 519871 567132 635052 749496 803437 1039742 1134264 1270104 1559613 1606874 2079484 2410311 3119226 3213748 4158968 4820622 6238452 6427496 8837807 9641244 12476904 17675614 19282488 26513421 35351228 53026842 70702456 106053684 212107368