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22570136680 = 2357137578191
BaseRepresentation
bin10101000001010010…
…001111010001101000
32011020221200201222011
4111001102033101220
5332210423333210
614211340205304
71426210665520
oct250122172150
964227621864
1022570136680
119632287823
12445a839834
132188cc2b80
141141792680
158c16ecd8a
hex54148f468

22570136680 has 128 divisors (see below), whose sum is σ = 62592122880. Its totient is φ = 7132769280.

The previous prime is 22570136669. The next prime is 22570136731. The reversal of 22570136680 is 8663107522.

It is a super-2 number, since 2×225701366802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751385 + ... + 2759575.

It is an arithmetic number, because the mean of its divisors is an integer number (489000960).

Almost surely, 222570136680 is an apocalyptic number.

22570136680 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 22570136680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31296061440).

22570136680 is an abundant number, since it is smaller than the sum of its proper divisors (40021986200).

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

22570136680 is a wasteful number, since it uses less digits than its factorization.

22570136680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 22570136680 in words is "twenty-two billion, five hundred seventy million, one hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 757 910 1514 1820 3028 3640 3785 5299 6056 7570 8191 9841 10598 15140 16382 19682 21196 26495 30280 32764 39364 40955 42392 49205 52990 57337 65528 68887 78728 81910 98410 105980 106483 114674 137774 163820 196820 211960 212966 229348 275548 286685 327640 344435 393640 425932 458696 532415 551096 573370 688870 745381 851864 1064830 1146740 1377740 1490762 2129660 2293480 2755480 2981524 3726905 4259320 5963048 6200587 7453810 12401174 14907620 24802348 29815240 31002935 43404109 49604696 62005870 80607631 86808218 124011740 161215262 173616436 217020545 248023480 322430524 347232872 403038155 434041090 564253417 644861048 806076310 868082180 1128506834 1612152620 1736164360 2257013668 2821267085 3224305240 4514027336 5642534170 11285068340 22570136680