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172172220 = 223511353739
BaseRepresentation
bin10100100001100…
…10001110111100
3102222222020212220
422100302032330
5323034002340
625030125340
74160303553
oct1220621674
9388866786
10172172220
11892065a0
12497b0850
1329892c6c
1418c1ad9a
15101aded0
hexa4323bc

172172220 has 96 divisors (see below), whose sum is σ = 528111360. Its totient is φ = 41564160.

The previous prime is 172172201. The next prime is 172172257. The reversal of 172172220 is 22271271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232611 + ... + 233349.

It is an arithmetic number, because the mean of its divisors is an integer number (5501160).

Almost surely, 2172172220 is an apocalyptic number.

172172220 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 172172220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264055680).

172172220 is an abundant number, since it is smaller than the sum of its proper divisors (355939140).

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

172172220 is a wasteful number, since it uses less digits than its factorization.

172172220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 172172220 is about 13121.4412318160. The cubic root of 172172220 is about 556.3153284380.

The spelling of 172172220 in words is "one hundred seventy-two million, one hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 353 660 706 739 1059 1412 1478 1765 2118 2217 2956 3530 3695 3883 4236 4434 5295 7060 7390 7766 8129 8868 10590 11085 11649 14780 15532 16258 19415 21180 22170 23298 24387 32516 38830 40645 44340 46596 48774 58245 77660 81290 97548 116490 121935 162580 232980 243870 260867 487740 521734 782601 1043468 1304335 1565202 2608670 2869537 3130404 3913005 5217340 5739074 7826010 8608611 11478148 14347685 15652020 17217222 28695370 34434444 43043055 57390740 86086110 172172220