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211152096 = 253481463
BaseRepresentation
bin11001001010111…
…10110011100000
3112201022122020000
430211132303200
5413023331341
632541420000
75142522531
oct1445366340
9481278200
10211152096
11a920a771
125a86a600
133499038c
1420086688
151380d8b6
hexc95ece0

211152096 has 60 divisors (see below), whose sum is σ = 621000072. Its totient is φ = 70383168.

The previous prime is 211152079. The next prime is 211152107. The reversal of 211152096 is 690251112.

211152096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2111520963 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38140 + ... + 43323.

Almost surely, 2211152096 is an apocalyptic number.

It is an amenable number.

211152096 is an abundant number, since it is smaller than the sum of its proper divisors (409847976).

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

211152096 is an equidigital number, since it uses as much as digits as its factorization.

211152096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81485 (or 81468 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 211152096 is about 14531.0734634438. The cubic root of 211152096 is about 595.4771926878.

The spelling of 211152096 in words is "two hundred eleven million, one hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 81463 162926 244389 325852 488778 651704 733167 977556 1303408 1466334 1955112 2199501 2606816 2932668 3910224 4399002 5865336 6598503 7820448 8798004 11730672 13197006 17596008 23461344 26394012 35192016 52788024 70384032 105576048 211152096