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223953292152 = 23332713825907
BaseRepresentation
bin1101000010010010101…
…0000000101101111000
3210102001200122000002000
43100210222000231320
512132124020322102
6250514400141000
722115525401002
oct3204452005570
9712050560060
10223953292152
1186a83882117
12374a1607760
1318170a43725
14aba743d372
155c5b2db01c
hex3424a80b78

223953292152 has 64 divisors (see below), whose sum is σ = 624388185600. Its totient is φ = 74375612640.

The previous prime is 223953292109. The next prime is 223953292181. The reversal of 223953292152 is 251292359322.

223953292152 is a `hidden beast` number, since 2 + 23 + 9 + 532 + 92 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×2239532921522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223953292098 and 223953292107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854418 + ... + 1971489.

It is an arithmetic number, because the mean of its divisors is an integer number (9756065400).

Almost surely, 2223953292152 is an apocalyptic number.

It is an amenable number.

223953292152 is an abundant number, since it is smaller than the sum of its proper divisors (400434893448).

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

223953292152 is a wasteful number, since it uses less digits than its factorization.

223953292152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826193 (or 3826183 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 223953292152 in words is "two hundred twenty-three billion, nine hundred fifty-three million, two hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 1084 1626 2168 2439 3252 4878 6504 7317 9756 14634 19512 29268 58536 3825907 7651814 11477721 15303628 22955442 30607256 34433163 45910884 68866326 91821768 103299489 137732652 206598978 275465304 413197956 826395912 1036820797 2073641594 3110462391 4147283188 6220924782 8294566376 9331387173 12441849564 18662774346 24883699128 27994161519 37325548692 55988323038 74651097384 111976646076 223953292152