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22395721104 = 243441572
BaseRepresentation
bin10100110110111000…
…111001010110010000
32010210210111111210000
4110312320321112100
5331331301033404
614142150010000
71421662326351
oct246670712620
963723444700
1022395721104
119552889819
124410346900
13215bb25aa3
14112654dd28
158b1249339
hex536e39590

22395721104 has 75 divisors (see below), whose sum is σ = 64835311057. Its totient is φ = 7463444544.

The previous prime is 22395721099. The next prime is 22395721111. The reversal of 22395721104 is 40112759322.

The square root of 22395721104 is 149652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10196960400 + 12198760704 = 100980^2 + 110448^2 .

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

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 5385394 + ... + 5389550.

Almost surely, 222395721104 is an apocalyptic number.

22395721104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22395721104 is the 149652-nd square number.

It is an amenable number.

22395721104 is an abundant number, since it is smaller than the sum of its proper divisors (42439589953).

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

22395721104 is an frugal number, since it uses more digits than its factorization.

22395721104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 22395721104 by its sum of digits (36), we get a square (806245959744 = 8979122).

22395721104 divided by its sum of digits (36) gives a square (622103364 = 249422).

The spelling of 22395721104 in words is "twenty-two billion, three hundred ninety-five million, seven hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4157 8314 12471 16628 24942 33256 37413 49884 66512 74826 99768 112239 149652 199536 224478 299304 336717 448956 598608 673434 897912 1346868 1795824 2693736 5387472 17280649 34561298 51841947 69122596 103683894 138245192 155525841 207367788 276490384 311051682 414735576 466577523 622103364 829471152 933155046 1244206728 1399732569 1866310092 2488413456 2799465138 3732620184 5598930276 7465240368 11197860552 22395721104