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172216590 = 235713199317
BaseRepresentation
bin10100100001111…
…01000100001110
3110000001111202020
422100331010032
5323041412330
625031111010
74160550120
oct1220750416
9400044666
10172216590
1189236967
1249812466
13298aa210
1418c2d210
15101bc210
hexa43d10e

172216590 has 128 divisors (see below), whose sum is σ = 512870400. Its totient is φ = 36039168.

The previous prime is 172216549. The next prime is 172216609. The reversal of 172216590 is 95612271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543112 + ... + 543428.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2172216590 is an apocalyptic number.

172216590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172216590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256435200).

172216590 is an abundant number, since it is smaller than the sum of its proper divisors (340653810).

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

172216590 is a wasteful number, since it uses less digits than its factorization.

172216590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 172216590 is about 13123.1318670506. The cubic root of 172216590 is about 556.3631131330.

The spelling of 172216590 in words is "one hundred seventy-two million, two hundred sixteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 199 210 273 317 390 398 455 546 597 634 910 951 995 1194 1365 1393 1585 1902 1990 2219 2587 2730 2786 2985 3170 4121 4179 4438 4755 5174 5970 6657 6965 7761 8242 8358 9510 11095 12363 12935 13314 13930 15522 18109 20605 20895 22190 24726 25870 28847 33285 36218 38805 41210 41790 54327 57694 61815 63083 66570 77610 86541 90545 108654 123630 126166 144235 173082 181090 189249 271635 288470 315415 378498 432705 441581 543270 630830 820079 865410 883162 946245 1324743 1640158 1892490 2207905 2460237 2649486 4100395 4415810 4920474 5740553 6623715 8200790 11481106 12301185 13247430 17221659 24602370 28702765 34443318 57405530 86108295 172216590