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211204312 = 23117693121
BaseRepresentation
bin11001001011010…
…11100011011000
3112201102021211221
430211223203120
5413032014222
632542501424
75143131004
oct1445534330
9481367757
10211204312
11a9245a20
125a894874
13349ab087
142009b704
151381e0c7
hexc96b8d8

211204312 has 32 divisors (see below), whose sum is σ = 432709200. Its totient is φ = 95846400.

The previous prime is 211204309. The next prime is 211204319. The reversal of 211204312 is 213402112.

211204312 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-2 number, since 2×2112043122 = 89214522814786688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211204319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66112 + ... + 69232.

Almost surely, 2211204312 is an apocalyptic number.

211204312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211204312 is an abundant number, since it is smaller than the sum of its proper divisors (221504888).

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

211204312 is a wasteful number, since it uses less digits than its factorization.

211204312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211204312 is about 14532.8700537781. The cubic root of 211204312 is about 595.5262740135.

Adding to 211204312 its reverse (213402112), we get a palindrome (424606424).

The spelling of 211204312 in words is "two hundred eleven million, two hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 769 1538 3076 3121 6152 6242 8459 12484 16918 24968 33836 34331 67672 68662 137324 274648 2400049 4800098 9600196 19200392 26400539 52801078 105602156 211204312