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211364672 = 2617194269
BaseRepresentation
bin11001001100100…
…10101101000000
3112201201102211012
430212102231000
5413102132142
632550140052
75144366351
oct1446225500
9481642735
10211364672
11a9345452
125a951628
1334a3606c
14200ddd28
1513851882
hexc992b40

211364672 has 28 divisors (see below), whose sum is σ = 444101220. Its totient is φ = 99465216.

The previous prime is 211364639. The next prime is 211364677. The reversal of 211364672 is 276463112.

It can be written as a sum of positive squares in 2 ways, for example, as 92467456 + 118897216 = 9616^2 + 10904^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211364677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96047 + ... + 98222.

Almost surely, 2211364672 is an apocalyptic number.

It is an amenable number.

211364672 is an abundant number, since it is smaller than the sum of its proper divisors (232736548).

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

211364672 is a wasteful number, since it uses less digits than its factorization.

211364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194298 (or 194288 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 211364672 is about 14538.3861552787. The cubic root of 211364672 is about 595.6769565967.

The spelling of 211364672 in words is "two hundred eleven million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 194269 388538 777076 1554152 3108304 3302573 6216608 6605146 12433216 13210292 26420584 52841168 105682336 211364672