Search a number
-
+
172271772 = 22341972699
BaseRepresentation
bin10100100010010…
…10100010011100
3110000011022110000
422101022202130
5323100144042
625032214300
74161200031
oct1221124234
9400138400
10172271772
1189274372
124983a390
13298c937a
1418c45388
15101cd74c
hexa44a89c

172271772 has 60 divisors (see below), whose sum is σ = 452806200. Its totient is φ = 57111264.

The previous prime is 172271767. The next prime is 172271789. The reversal of 172271772 is 277172271.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62479 + ... + 65177.

It is an arithmetic number, because the mean of its divisors is an integer number (7546770).

Almost surely, 2172271772 is an apocalyptic number.

172271772 is a gapful number since it is divisible by the number (12) 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 172271772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226403100).

172271772 is an abundant number, since it is smaller than the sum of its proper divisors (280534428).

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

172271772 is a wasteful number, since it uses less digits than its factorization.

172271772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2901 counting only the distinct ones).

The product of its digits is 19208, while the sum is 36.

The square root of 172271772 is about 13125.2341693396. The cubic root of 172271772 is about 556.4225304647.

The spelling of 172271772 in words is "one hundred seventy-two million, two hundred seventy-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 2699 3546 5319 5398 7092 8097 10638 10796 15957 16194 21276 24291 31914 32388 48582 63828 72873 97164 145746 218619 291492 437238 531703 874476 1063406 1595109 2126812 3190218 4785327 6380436 9570654 14355981 19141308 28711962 43067943 57423924 86135886 172271772