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252231525 = 325271397127
BaseRepresentation
bin11110000100010…
…11111101100101
3122120121200121100
433002023331211
51004032402100
641010110313
76151634610
oct1702137545
9576550540
10252231525
1111a418307
127057b399
1340344330
14256db177
1517225400
hexf08bf65

252231525 has 144 divisors (see below), whose sum is σ = 566185984. Its totient is φ = 104509440.

The previous prime is 252231503. The next prime is 252231557. The reversal of 252231525 is 525132252.

It is not a de Polignac number, because 252231525 - 28 = 252231269 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1986012 + ... + 1986138.

Almost surely, 2252231525 is an apocalyptic number.

252231525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252231525 is an abundant number, since it is smaller than the sum of its proper divisors (313954459).

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

252231525 is a wasteful number, since it uses less digits than its factorization.

252231525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 252231525 is about 15881.7985442455. The cubic root of 252231525 is about 631.8293390680.

Adding to 252231525 its reverse (525132252), we get a palindrome (777363777).

The spelling of 252231525 in words is "two hundred fifty-two million, two hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 97 105 117 127 175 195 225 273 291 315 325 381 455 485 525 585 635 679 819 873 889 975 1143 1261 1365 1455 1575 1651 1905 2037 2275 2425 2667 2925 3175 3395 3783 4095 4365 4445 4953 5715 6111 6305 6825 7275 8001 8255 8827 9525 10185 11349 11557 12319 13335 14859 16975 18915 20475 21825 22225 24765 26481 28575 30555 31525 34671 36957 40005 41275 44135 50925 56745 57785 61595 66675 74295 79443 86233 94575 104013 110871 123825 132405 152775 160147 173355 184785 200025 220675 258699 283725 288925 307975 371475 397215 431165 480441 520065 554355 662025 776097 800735 866775 923925 1121029 1293495 1441323 1986075 2155825 2402205 2600325 2771775 3363087 3880485 4003675 5605145 6467475 7206615 10089261 12011025 16815435 19402425 28025725 36033075 50446305 84077175 252231525