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172216256 = 261729311
BaseRepresentation
bin10100100001111…
…00111111000000
3110000001111021212
422100330333000
5323041410011
625031105252
74160546132
oct1220747700
9400044255
10172216256
1189236693
1249812228
13298aa014
1418c2d052
15101bc08b
hexa43cfc0

172216256 has 42 divisors (see below), whose sum is σ = 363065568. Its totient is φ = 81034240.

The previous prime is 172216243. The next prime is 172216259. The reversal of 172216256 is 652612271.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172216259) 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 5 ways as a sum of consecutive naturals, for example, 13841 + ... + 23151.

Almost surely, 2172216256 is an apocalyptic number.

172216256 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 172216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181532784).

172216256 is an abundant number, since it is smaller than the sum of its proper divisors (190849312).

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

172216256 is an equidigital number, since it uses as much as digits as its factorization.

172216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9330 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 172216256 is about 13123.1191414237. The cubic root of 172216256 is about 556.3627534591.

The spelling of 172216256 in words is "one hundred seventy-two million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 9311 18496 18622 37244 74488 148976 158287 297952 316574 595904 633148 1266296 2532592 2690879 5065184 5381758 10130368 10763516 21527032 43054064 86108128 172216256