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923272164 = 223223248481
BaseRepresentation
bin110111000010000…
…000001111100100
32101100022002022100
4313002000033210
53342324202124
6231340532100
731610453403
oct6702001744
92340262270
10923272164
11434188051
12219251030
131193842b9
148a89763a
15560c71c9
hex370803e4

923272164 has 54 divisors (see below), whose sum is σ = 2439759686. Its totient is φ = 294370560.

The previous prime is 923272157. The next prime is 923272177. The reversal of 923272164 is 461272329.

It can be written as a sum of positive squares in only one way, i.e., 921729600 + 1542564 = 30360^2 + 1242^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5197 + ... + 43284.

Almost surely, 2923272164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923272164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219879843).

923272164 is an abundant number, since it is smaller than the sum of its proper divisors (1516487522).

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

923272164 is a wasteful number, since it uses less digits than its factorization.

923272164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48537 (or 48509 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 923272164 is about 30385.3939253714. The cubic root of 923272164 is about 973.7405307664.

The spelling of 923272164 in words is "nine hundred twenty-three million, two hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 48481 96962 145443 193924 290886 436329 581772 872658 1115063 1745316 2230126 3345189 4460252 6690378 10035567 13380756 20071134 25646449 40142268 51292898 76939347 102585796 153878694 230818041 307757388 461636082 923272164