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22025542032 = 2434131307309
BaseRepresentation
bin10100100000110100…
…110001100110010000
32002211222221110120000
4110200310301212100
5330102014321112
614041323450000
71406546006154
oct244064614620
962758843500
1022025542032
1193829317aa
124328386900
132100225b10
1410cd30d064
1588d9c67dc
hex520d31990

22025542032 has 100 divisors (see below), whose sum is σ = 68652077340. Its totient is φ = 6777084672.

The previous prime is 22025541997. The next prime is 22025542093. The reversal of 22025542032 is 23024552022.

22025542032 is a `hidden beast` number, since 2 + 202 + 5 + 5 + 420 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7489863936 + 14535678096 = 86544^2 + 120564^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22025541987 and 22025542005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 636807 + ... + 670502.

Almost surely, 222025542032 is an apocalyptic number.

It is an amenable number.

22025542032 is an abundant number, since it is smaller than the sum of its proper divisors (46626535308).

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

22025542032 is a wasteful number, since it uses less digits than its factorization.

22025542032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307342 (or 1307327 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 22025542032 in words is "twenty-two billion, twenty-five million, five hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 1307309 2614618 3921927 5229236 7843854 10458472 11765781 15687708 16995017 20916944 23531562 31375416 33990034 35297343 47063124 50985051 62750832 67980068 70594686 94126248 101970102 105892029 135960136 141189372 152955153 188252496 203940204 211784058 271920272 282378744 305910306 407880408 423568116 458865459 564757488 611820612 815760816 847136232 917730918 1223641224 1376596377 1694272464 1835461836 2447282448 2753192754 3670923672 5506385508 7341847344 11012771016 22025542032