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22424537088 = 2113211032
BaseRepresentation
bin10100111000100110…
…110100100000000000
32010212210201111212200
4110320212310200000
5331411140141323
614145055353200
71422462264102
oct247046644000
963783644780
1022424537088
119568080688
124419b22800
132164aa4b75
14112a2d1572
158b3a3c443
hex5389b4800

22424537088 has 108 divisors (see below), whose sum is σ = 64824951555. Its totient is φ = 7468068864.

The previous prime is 22424537081. The next prime is 22424537137. The reversal of 22424537088 is 88073542422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11212268544 + 11212268544 = 105888^2 + 105888^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105888.

It is a super-2 number, since 2×224245370882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22424537081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20329945 + ... + 20331047.

Almost surely, 222424537088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22424537088

22424537088 is an abundant number, since it is smaller than the sum of its proper divisors (42400414467).

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

22424537088 is an frugal number, since it uses more digits than its factorization.

22424537088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 22424537088 in words is "twenty-two billion, four hundred twenty-four million, five hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1103 1152 1536 2048 2206 2304 3072 3309 4412 4608 6144 6618 8824 9216 9927 13236 17648 18432 19854 26472 35296 39708 52944 70592 79416 105888 141184 158832 211776 282368 317664 423552 564736 635328 847104 1129472 1216609 1270656 1694208 2258944 2433218 2541312 3388416 3649827 4866436 5082624 6776832 7299654 9732872 10165248 10949481 14599308 19465744 20330496 21898962 29198616 38931488 43797924 58397232 77862976 87595848 116794464 155725952 175191696 233588928 311451904 350383392 467177856 622903808 700766784 934355712 1245807616 1401533568 1868711424 2491615232 2803067136 3737422848 5606134272 7474845696 11212268544 22424537088