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172241856 = 2633263379
BaseRepresentation
bin10100100010000…
…11001111000000
3110000002210102000
422101003033000
5323043214411
625031424000
74161013563
oct1221031700
9400083360
10172241856
1189253946
1249825000
13298b8877
1418c384da
15101c4956
hexa4433c0

172241856 has 112 divisors (see below), whose sum is σ = 509625600. Its totient is φ = 57044736.

The previous prime is 172241843. The next prime is 172241869. The reversal of 172241856 is 658142271.

It is an interprime number because it is at equal distance from previous prime (172241843) and next prime (172241869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172241856.

It is a congruent number.

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, 454275 + ... + 454653.

Almost surely, 2172241856 is an apocalyptic number.

172241856 is a gapful number since it is divisible by the number (16) 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 172241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254812800).

172241856 is an abundant number, since it is smaller than the sum of its proper divisors (337383744).

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

172241856 is a wasteful number, since it uses less digits than its factorization.

172241856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 172241856 is about 13124.0944830491. The cubic root of 172241856 is about 556.3903199253.

The spelling of 172241856 in words is "one hundred seventy-two million, two hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 263 288 379 432 526 576 758 789 864 1052 1137 1516 1578 1728 2104 2274 2367 3032 3156 3411 4208 4548 4734 6064 6312 6822 7101 8416 9096 9468 10233 12128 12624 13644 14202 16832 18192 18936 20466 24256 25248 27288 28404 36384 37872 40932 50496 54576 56808 72768 75744 81864 99677 109152 113616 151488 163728 199354 218304 227232 299031 327456 398708 454464 598062 654912 797416 897093 1196124 1594832 1794186 2392248 2691279 3189664 3588372 4784496 5382558 6379328 7176744 9568992 10765116 14353488 19137984 21530232 28706976 43060464 57413952 86120928 172241856