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22080232480 = 255375370373
BaseRepresentation
bin10100100100000101…
…011001110000100000
32002222210212000202011
4110210011121300200
5330210014414410
614051000002304
71411111610425
oct244405316040
962883760664
1022080232480
119400796519
124342760394
13210b664127
1410d66a7d4c
158936cb18a
hex524159c20

22080232480 has 96 divisors (see below), whose sum is σ = 54586015344. Its totient is φ = 8431128576.

The previous prime is 22080232459. The next prime is 22080232523. The reversal of 22080232480 is 8423208022.

It can be written as a sum of positive squares in 8 ways, for example, as 9012084624 + 13068147856 = 94932^2 + 114316^2 .

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, 278574 + ... + 348946.

Almost surely, 222080232480 is an apocalyptic number.

22080232480 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 22080232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293007672).

22080232480 is an abundant number, since it is smaller than the sum of its proper divisors (32505782864).

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

22080232480 is a wasteful number, since it uses less digits than its factorization.

22080232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70478 (or 70470 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 22080232480 in words is "twenty-two billion, eighty million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 74 80 106 148 160 185 212 265 296 370 424 530 592 740 848 1060 1184 1480 1696 1961 2120 2960 3922 4240 5920 7844 8480 9805 15688 19610 31376 39220 62752 70373 78440 140746 156880 281492 313760 351865 562984 703730 1125968 1407460 2251936 2603801 2814920 3729769 5207602 5629840 7459538 10415204 11259680 13019005 14919076 18648845 20830408 26038010 29838152 37297690 41660816 52076020 59676304 74595380 83321632 104152040 119352608 138001453 149190760 208304080 276002906 298381520 416608160 552005812 596763040 690007265 1104011624 1380014530 2208023248 2760029060 4416046496 5520058120 11040116240 22080232480