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172220664 = 233711412273
BaseRepresentation
bin10100100001111…
…10000011111000
3110000001201100010
422100332003320
5323042030124
625031141520
74160565030
oct1220760370
9400051303
10172220664
1189239a30
12498148a0
13298ac025
1418c308c0
15101bd529
hexa43e0f8

172220664 has 128 divisors (see below), whose sum is σ = 550126080. Its totient is φ = 43622400.

The previous prime is 172220639. The next prime is 172220669. The reversal of 172220664 is 466022271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172220669) by changing a digit.

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, 74632 + ... + 76904.

It is an arithmetic number, because the mean of its divisors is an integer number (4297860).

Almost surely, 2172220664 is an apocalyptic number.

172220664 is a gapful number since it is divisible by the number (14) 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 172220664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275063040).

172220664 is an abundant number, since it is smaller than the sum of its proper divisors (377905416).

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

172220664 is a wasteful number, since it uses less digits than its factorization.

172220664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 172220664 is about 13123.2870882260. The cubic root of 172220664 is about 556.3675002547.

The spelling of 172220664 in words is "one hundred seventy-two million, two hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1148 1353 1722 1804 1848 2273 2296 2706 3157 3444 3608 4546 5412 6314 6819 6888 9092 9471 10824 12628 13638 15911 18184 18942 25003 25256 27276 31822 37884 47733 50006 54552 63644 75009 75768 93193 95466 100012 127288 150018 175021 186386 190932 200024 279579 300036 350042 372772 381864 525063 559158 600072 652351 700084 745544 1025123 1050126 1118316 1304702 1400168 1957053 2050246 2100252 2236632 2609404 3075369 3914106 4100492 4200504 5218808 6150738 7175861 7828212 8200984 12301476 14351722 15656424 21527583 24602952 28703444 43055166 57406888 86110332 172220664