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22378740560 = 24511231105669
BaseRepresentation
bin10100110101111000…
…000111101101010000
32010202121112210211222
4110311320013231100
5331312424144220
614140342024212
71421365104401
oct246570075520
963677483758
1022378740560
119544241010
124406718068
13215845bb27
1411241ad9a8
158ae9e2e25
hex535e07b50

22378740560 has 80 divisors (see below), whose sum is σ = 59228530560. Its totient is φ = 7783902720.

The previous prime is 22378740541. The next prime is 22378740649. The reversal of 22378740560 is 6504787322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×223787405602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532595 + ... + 573074.

It is an arithmetic number, because the mean of its divisors is an integer number (740356632).

Almost surely, 222378740560 is an apocalyptic number.

22378740560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22378740560 is an abundant number, since it is smaller than the sum of its proper divisors (36849790000).

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

22378740560 is a wasteful number, since it uses less digits than its factorization.

22378740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105716 (or 1105710 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 22378740560 in words is "twenty-two billion, three hundred seventy-eight million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 1105669 2211338 4422676 5528345 8845352 11056690 12162359 17690704 22113380 24324718 25430387 44226760 48649436 50860774 60811795 88453520 97298872 101721548 121623590 127151935 194597744 203443096 243247180 254303870 279734257 406886192 486494360 508607740 559468514 972988720 1017215480 1118937028 1398671285 2034430960 2237874056 2797342570 4475748112 5594685140 11189370280 22378740560