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2252405532 = 2231343479701
BaseRepresentation
bin1000011001000000…
…1111101100011100
312210222022001112010
42012100033230130
514103103434112
61011300511220
7106550062656
oct20620175434
95728261463
102252405532
11a56473683
1252a3ab510
1329b84c950
141751dd6d6
15d2b1e63c
hex8640fb1c

2252405532 has 96 divisors (see below), whose sum is σ = 5811886080. Its totient is φ = 674553600.

The previous prime is 2252405527. The next prime is 2252405567. The reversal of 2252405532 is 2355042522.

It is a self number, because there is not a number n which added to its sum of digits gives 2252405532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212782 + ... + 3213482.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 22252405532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252405532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

2252405532 is an abundant number, since it is smaller than the sum of its proper divisors (3559480548).

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

2252405532 is a wasteful number, since it uses less digits than its factorization.

2252405532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2252405532 is about 47459.5146624994. The cubic root of 2252405532 is about 1310.8375142847.

The spelling of 2252405532 in words is "two billion, two hundred fifty-two million, four hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 479 516 559 701 958 1118 1402 1437 1677 1916 2103 2236 2804 2874 3354 4206 5748 6227 6708 8412 9113 12454 18226 18681 20597 24908 27339 30143 36452 37362 41194 54678 60286 61791 74724 82388 90429 109356 120572 123582 180858 247164 267761 335779 361716 391859 535522 671558 783718 803283 1007337 1071044 1175577 1343116 1567436 1606566 2014674 2351154 3213132 4029348 4365127 4702308 8730254 13095381 14438497 17460508 26190762 28876994 43315491 52381524 57753988 86630982 173261964 187700461 375400922 563101383 750801844 1126202766 2252405532