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22421520240 = 2435719369151
BaseRepresentation
bin10100111000011011…
…010011111101110000
32010212121001020112120
4110320123103331300
5331404402121430
614144510554240
71422424530450
oct247033237560
963777036476
1022421520240
119566400019
124418b08980
132164289952
141129b47d60
158b3643610
hex5386d3f70

22421520240 has 160 divisors (see below), whose sum is σ = 79848984576. Its totient is φ = 5098291200.

The previous prime is 22421520217. The next prime is 22421520241. The reversal of 22421520240 is 4202512422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22421520240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421520241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289665 + ... + 358815.

Almost surely, 222421520240 is an apocalyptic number.

22421520240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22421520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39924492288).

22421520240 is an abundant number, since it is smaller than the sum of its proper divisors (57427464336).

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

22421520240 is a wasteful number, since it uses less digits than its factorization.

22421520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69367 (or 69361 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 22421520240 in words is "twenty-two billion, four hundred twenty-one million, five hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 193 210 240 280 336 386 420 560 579 772 840 965 1158 1351 1544 1680 1930 2316 2702 2895 3088 3860 4053 4632 5404 5790 6755 7720 8106 9264 10808 11580 13510 15440 16212 20265 21616 23160 27020 32424 40530 46320 54040 64848 69151 81060 108080 138302 162120 207453 276604 324240 345755 414906 484057 553208 691510 829812 968114 1037265 1106416 1383020 1452171 1659624 1936228 2074530 2420285 2766040 2904342 3319248 3872456 4149060 4840570 5532080 5808684 7260855 7744912 8298120 9681140 11617368 13346143 14521710 16596240 19362280 23234736 26692286 29043420 38724560 40038429 53384572 58086840 66730715 80076858 93423001 106769144 116173680 133461430 160153716 186846002 200192145 213538288 266922860 280269003 320307432 373692004 400384290 467115005 533845720 560538006 640614864 747384008 800768580 934230010 1067691440 1121076012 1401345015 1494768016 1601537160 1868460020 2242152024 2802690030 3203074320 3736920040 4484304048 5605380060 7473840080 11210760120 22421520240