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172238080 = 285747409
BaseRepresentation
bin10100100010000…
…10010100000000
3110000002121020011
422101002110000
5323043104310
625031354304
74160666560
oct1221022400
9400077204
10172238080
1189251023
1249822994
13298b6c31
1418c36da0
15101c378a
hexa442500

172238080 has 144 divisors (see below), whose sum is σ = 482711040. Its totient is φ = 57655296.

The previous prime is 172238063. The next prime is 172238083. The reversal of 172238080 is 80832271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172238083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420916 + ... + 421324.

It is an arithmetic number, because the mean of its divisors is an integer number (3352160).

Almost surely, 2172238080 is an apocalyptic number.

172238080 is a gapful number since it is divisible by the number (10) 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 172238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355520).

172238080 is an abundant number, since it is smaller than the sum of its proper divisors (310472960).

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

172238080 is an equidigital number, since it uses as much as digits as its factorization.

172238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 172238080 is about 13123.9506247166. The cubic root of 172238080 is about 556.3862540433.

The spelling of 172238080 in words is "one hundred seventy-two million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 409 448 470 560 640 658 752 818 896 940 1120 1280 1316 1504 1636 1645 1792 1880 2045 2240 2632 2863 3008 3272 3290 3760 4090 4480 5264 5726 6016 6544 6580 7520 8180 8960 10528 11452 12032 13088 13160 14315 15040 16360 19223 21056 22904 26176 26320 28630 30080 32720 38446 42112 45808 52352 52640 57260 60160 65440 76892 84224 91616 96115 104704 105280 114520 130880 134561 153784 183232 192230 210560 229040 261760 269122 307568 366464 384460 421120 458080 523520 538244 615136 672805 732928 768920 916160 1076488 1230272 1345610 1537840 1832320 2152976 2460544 2691220 3075680 3664640 4305952 4921088 5382440 6151360 8611904 10764880 12302720 17223808 21529760 24605440 34447616 43059520 86119040 172238080