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2260593972 = 22327131740591
BaseRepresentation
bin1000011010111101…
…1110110100110100
312211112201001221200
42012233132310310
514112203001342
61012152212500
7110006505660
oct20657366464
95745631850
102260593972
11a6005678a
1253109a130
132a0458a90
141763318a0
15d36da94c
hex86bded34

2260593972 has 144 divisors (see below), whose sum is σ = 7446845952. Its totient is φ = 561116160.

The previous prime is 2260593961. The next prime is 2260593977. The reversal of 2260593972 is 2793950622.

It is a happy number.

2260593972 is a `hidden beast` number, since 2 + 2 + 605 + 9 + 39 + 7 + 2 = 666.

It is a super-2 number, since 2×22605939722 = 10220570212485473568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260593977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35397 + ... + 75987.

It is an arithmetic number, because the mean of its divisors is an integer number (51714208).

Almost surely, 22260593972 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 2260593972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723422976).

2260593972 is an abundant number, since it is smaller than the sum of its proper divisors (5186251980).

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

2260593972 is a wasteful number, since it uses less digits than its factorization.

2260593972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40638 (or 40633 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2260593972 is about 47545.7040330670. The cubic root of 2260593972 is about 1312.4240748461.

The spelling of 2260593972 in words is "two billion, two hundred sixty million, five hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1326 1428 1547 1638 1989 2142 2652 3094 3276 3978 4284 4641 6188 7956 9282 13923 18564 27846 40591 55692 81182 121773 162364 243546 284137 365319 487092 527683 568274 690047 730638 852411 1055366 1136548 1380094 1461276 1583049 1704822 2070141 2110732 2557233 2760188 3166098 3409644 3693781 4140282 4749147 4830329 5114466 6210423 6332196 7387562 8280564 8970611 9498294 9660658 10228932 11081343 12420846 14490987 14775124 17941222 18996588 19321316 22162686 24841692 26911833 28981974 33244029 35882444 43472961 44325372 53823666 57963948 62794277 66488058 80735499 86945922 107647332 125588554 132976116 161470998 173891844 188382831 251177108 322941996 376765662 565148493 753531324 1130296986 2260593972