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22450528332 = 22323773373619
BaseRepresentation
bin10100111010001001…
…111110000001001100
32010221121122000011100
4110322021332001030
5331434313401312
614151424423100
71423226225241
oct247211760114
963847560140
1022450528332
119580813251
124426777a90
13216a2a52bb
14112d9395c8
158b5e735dc
hex53a27e04c

22450528332 has 144 divisors (see below), whose sum is σ = 59336236960. Its totient is φ = 7150685184.

The previous prime is 22450528313. The next prime is 22450528339. The reversal of 22450528332 is 23382505422.

22450528332 is a `hidden beast` number, since 224 + 50 + 52 + 8 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22450528339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36268719 + ... + 36269337.

Almost surely, 222450528332 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 22450528332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29668118480).

22450528332 is an abundant number, since it is smaller than the sum of its proper divisors (36885708628).

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

22450528332 is a wasteful number, since it uses less digits than its factorization.

22450528332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 22450528332 in words is "twenty-two billion, four hundred fifty million, five hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 373 438 444 619 657 666 746 876 1119 1238 1314 1332 1492 1857 2238 2476 2628 2701 3357 3714 4476 5402 5571 6714 7428 8103 10804 11142 13428 13801 16206 22284 22903 24309 27229 27602 32412 41403 45187 45806 48618 54458 55204 68709 81687 82806 90374 91612 97236 108916 124209 135561 137418 163374 165612 180748 206127 230887 245061 248418 271122 274836 326748 406683 412254 461774 490122 496836 542244 692661 813366 824508 923548 980244 1007473 1385322 1626732 1671919 2014946 2077983 2770644 3022419 3343838 4029892 4155966 5015757 6044838 6687676 8311932 8542819 9067257 10031514 12089676 15047271 16854751 17085638 18134514 20063028 25628457 30094542 33709502 34171276 36269028 50564253 51256914 60189084 67419004 76885371 101128506 102513828 151692759 153770742 202257012 303385518 307541484 606771036 623625787 1247251574 1870877361 2494503148 3741754722 5612632083 7483509444 11225264166 22450528332