Search a number
-
+
22428200592 = 2433710173433
BaseRepresentation
bin10100111000110100…
…110010111010010000
32010220001121122021000
4110320310302322100
5331413104404332
614145310102000
71422535362630
oct247064627220
963801548230
1022428200592
11956a153076
12441b1aa900
132165788515
14112a9a66c0
158b4012b7c
hex538d32e90

22428200592 has 160 divisors (see below), whose sum is σ = 74303458560. Its totient is φ = 6344524800.

The previous prime is 22428200573. The next prime is 22428200651. The reversal of 22428200592 is 29500282422.

22428200592 is a `hidden beast` number, since 2 + 2 + 42 + 8 + 20 + 0 + 592 = 666.

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

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, 268708 + ... + 342140.

It is an arithmetic number, because the mean of its divisors is an integer number (464396616).

Almost surely, 222428200592 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 22428200592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151729280).

22428200592 is an abundant number, since it is smaller than the sum of its proper divisors (51875257968).

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

22428200592 is a wasteful number, since it uses less digits than its factorization.

22428200592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73558 (or 73546 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22428200592 in words is "twenty-two billion, four hundred twenty-eight million, two hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 101 108 112 126 144 168 189 202 216 252 303 336 378 404 432 504 606 707 756 808 909 1008 1212 1414 1512 1616 1818 2121 2424 2727 2828 3024 3636 4242 4848 5454 5656 6363 7272 8484 10908 11312 12726 14544 16968 19089 21816 25452 33936 38178 43632 50904 73433 76356 101808 146866 152712 220299 293732 305424 440598 514031 587464 660897 881196 1028062 1174928 1321794 1542093 1762392 1982691 2056124 2643588 3084186 3524784 3965382 4112248 4626279 5287176 6168372 7416733 7930764 8224496 9252558 10574352 12336744 13878837 14833466 15861528 18505116 22250199 24673488 27757674 29666932 31723056 37010232 44500398 51917131 55515348 59333864 66750597 74020464 89000796 103834262 111030696 118667728 133501194 155751393 178001592 200251791 207668524 222061392 267002388 311502786 356003184 400503582 415337048 467254179 534004776 623005572 801007164 830674096 934508358 1068009552 1246011144 1401762537 1602014328 1869016716 2492022288 2803525074 3204028656 3738033432 5607050148 7476066864 11214100296 22428200592