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211612880196 = 223243217832
BaseRepresentation
bin1100010100010100011…
…1000100110101000100
3202020012122222010022100
43011011013010311010
511431340344131241
6241114050232100
721200651542404
oct3050507046504
9666178863270
10211612880196
1181820a54a53
1235018885630
1316c55201c13
14a35652c804
155787c279b6
hex31451c4d44

211612880196 has 81 divisors (see below), whose sum is σ = 547946725599. Its totient is φ = 68858575632.

The previous prime is 211612880191. The next prime is 211612880231. The reversal of 211612880196 is 691088216112.

It is a happy number.

The square root of 211612880196 is 460014.

It is a perfect power (a square), and thus also a powerful number.

211612880196 is a `hidden beast` number, since 2 + 11 + 612 + 8 + 8 + 0 + 19 + 6 = 666.

It is a super-2 number, since 2×2116128801962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211612880191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118682721 + ... + 118684503.

Almost surely, 2211612880196 is an apocalyptic number.

211612880196 is the 460014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211612880196

211612880196 is an abundant number, since it is smaller than the sum of its proper divisors (336333845403).

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

211612880196 is an equidigital number, since it uses as much as digits as its factorization.

211612880196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 2116128 and 80196, that added together give a square (2196324 = 14822).

The spelling of 211612880196 in words is "two hundred eleven billion, six hundred twelve million, eight hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1783 1849 3566 3698 5349 5547 7132 7396 10698 11094 16047 16641 21396 22188 32094 33282 64188 66564 76669 153338 230007 306676 460014 690021 920028 1380042 2760084 3179089 3296767 6358178 6593534 9537267 9890301 12716356 13187068 19074534 19780602 28611801 29670903 38149068 39561204 57223602 59341806 114447204 118683612 136700827 273401654 410102481 546803308 820204962 1230307443 1640409924 2460614886 4921229772 5878135561 11756271122 17634406683 23512542244 35268813366 52903220049 70537626732 105806440098 211612880196