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2212397952 = 27317338909
BaseRepresentation
bin1000001111011110…
…1000001110000000
312201012000110102220
42003313220032000
514012333213302
61003311211040
7105553033542
oct20367501600
95635013386
102212397952
11a35928366
12518b16a80
1329348281b
1416db87692
15ce36a4bc
hex83de8380

2212397952 has 64 divisors (see below), whose sum is σ = 6222387600. Its totient is φ = 694083584.

The previous prime is 2212397927. The next prime is 2212397963. The reversal of 2212397952 is 2597932122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162927 + ... + 175982.

Almost surely, 22212397952 is an apocalyptic number.

It is an amenable number.

2212397952 is an abundant number, since it is smaller than the sum of its proper divisors (4009989648).

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

2212397952 is a wasteful number, since it uses less digits than its factorization.

2212397952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338943 (or 338931 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 2212397952 is about 47036.1345350572. The cubic root of 2212397952 is about 1303.0300036657.

The spelling of 2212397952 in words is "two billion, two hundred twelve million, three hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 338909 677818 1016727 1355636 2033454 2711272 4066908 5422544 5761453 8133816 10845088 11522906 16267632 17284359 21690176 23045812 32535264 34568718 43380352 46091624 65070528 69137436 92183248 130141056 138274872 184366496 276549744 368732992 553099488 737465984 1106198976 2212397952