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22552602240 = 273571678021
BaseRepresentation
bin10101000000001111…
…010110011010000000
32011012201200220020110
4111000033112122000
5332141431232430
614205512311320
71425605645640
oct250017263200
964181626213
1022552602240
1196233a0953
1244549a2540
132185493a6c
14113d30a520
158bedd77b0
hex5403d6680

22552602240 has 128 divisors (see below), whose sum is σ = 82155957120. Its totient is φ = 5154877440.

The previous prime is 22552602227. The next prime is 22552602343. The reversal of 22552602240 is 4220625522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22552602198 and 22552602207.

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 15 ways as a sum of consecutive naturals, for example, 825571 + ... + 852450.

It is an arithmetic number, because the mean of its divisors is an integer number (641843415).

Almost surely, 222552602240 is an apocalyptic number.

22552602240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22552602240 is an abundant number, since it is smaller than the sum of its proper divisors (59603354880).

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

22552602240 is a wasteful number, since it uses less digits than its factorization.

22552602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678050 (or 1678038 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 22552602240 in words is "twenty-two billion, five hundred fifty-two million, six hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 1678021 3356042 5034063 6712084 8390105 10068126 11746147 13424168 16780210 20136252 23492294 25170315 26848336 33560420 35238441 40272504 46984588 50340630 53696672 58730735 67120840 70476882 80545008 93969176 100681260 107393344 117461470 134241680 140953764 161090016 176192205 187938352 201362520 214786688 234922940 268483360 281907528 322180032 352384410 375876704 402725040 469845880 536966720 563815056 644360064 704768820 751753408 805450080 939691760 1073933440 1127630112 1409537640 1503506816 1610900160 1879383520 2255260224 2819075280 3221800320 3758767040 4510520448 5638150560 7517534080 11276301120 22552602240