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252223032303 = 331117192629213
BaseRepresentation
bin1110101011100110101…
…0100000101111101111
3220010000212010121011000
43222321222200233233
513113023044013203
6311511502531343
724136215254334
oct3527152405757
9803025117130
10252223032303
1197a70365330
1240a70b96b53
131aa277c5c18
14c2c9b6698b
1568630854a3
hex3ab9aa0bef

252223032303 has 64 divisors (see below), whose sum is σ = 454328179200. Its totient is φ = 136298350080.

The previous prime is 252223032293. The next prime is 252223032323. The reversal of 252223032303 is 303230322252.

252223032303 is a `hidden beast` number, since 2 + 52 + 2 + 2 + 303 + 2 + 303 = 666.

It is not a de Polignac number, because 252223032303 - 222 = 252218837999 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252223032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218676 + ... + 1410537.

It is an arithmetic number, because the mean of its divisors is an integer number (7098877800).

Almost surely, 2252223032303 is an apocalyptic number.

252223032303 is a deficient number, since it is larger than the sum of its proper divisors (202105146897).

252223032303 is a wasteful number, since it uses less digits than its factorization.

252223032303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629269 (or 2629263 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 252223032303 its reverse (303230322252), we get a palindrome (555453354555).

The spelling of 252223032303 in words is "two hundred fifty-two billion, two hundred twenty-three million, thirty-two thousand, three hundred three".

Divisors: 1 3 9 11 17 19 27 33 51 57 99 153 171 187 209 297 323 459 513 561 627 969 1683 1881 2907 3553 5049 5643 8721 10659 31977 95931 2629213 7887639 23662917 28921343 44696621 49955047 70988751 86764029 134089863 149865141 260292087 402269589 449595423 491662831 549505517 780876261 849235799 1206808767 1348786269 1474988493 1648516551 2547707397 4424965479 4945549653 7643122191 9341593789 13274896437 14836648959 22929366573 28024781367 84074344101 252223032303