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22024149056 = 267137351803
BaseRepresentation
bin10100100000101111…
…011101100001000000
32002211220022200202022
4110200233131201000
5330101140232211
614041233541012
71406531115050
oct244057354100
962756280668
1022024149056
119382070188
124327a14768
1320ccb58a80
1410cd069560
1588d7edbdb
hex520bdd840

22024149056 has 112 divisors (see below), whose sum is σ = 54527647104. Its totient is φ = 8593330176.

The previous prime is 22024149029. The next prime is 22024149089. The reversal of 22024149056 is 65094142022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×220241490562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399251 + ... + 451053.

It is an arithmetic number, because the mean of its divisors is an integer number (486853992).

Almost surely, 222024149056 is an apocalyptic number.

22024149056 is a gapful number since it is divisible by the number (26) 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 22024149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27263823552).

22024149056 is an abundant number, since it is smaller than the sum of its proper divisors (32503498048).

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

22024149056 is a wasteful number, since it uses less digits than its factorization.

22024149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51908 (or 51898 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 22024149056 in words is "twenty-two billion, twenty-four million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 146 182 208 224 292 364 416 448 511 584 728 832 949 1022 1168 1456 1898 2044 2336 2912 3796 4088 4672 5824 6643 7592 8176 13286 15184 16352 26572 30368 32704 51803 53144 60736 103606 106288 207212 212576 362621 414424 425152 673439 725242 828848 1346878 1450484 1657696 2693756 2900968 3315392 3781619 4714073 5387512 5801936 7563238 9428146 10775024 11603872 15126476 18856292 21550048 23207744 26471333 30252952 37712584 43100096 49161047 52942666 60505904 75425168 98322094 105885332 121011808 150850336 196644188 211770664 242023616 301700672 344127329 393288376 423541328 688254658 786576752 847082656 1376509316 1573153504 1694165312 2753018632 3146307008 5506037264 11012074528 22024149056