Search a number
-
+
232109136 = 24327409563
BaseRepresentation
bin11011101010110…
…11010001010000
3121011202100212200
431311123101100
5433404443021
635010523200
75515616010
oct1565332120
9534670780
10232109136
1110a024036
1265896500
133911a2ac
1422b7dc40
151559d126
hexdd5b450

232109136 has 120 divisors (see below), whose sum is σ = 745517760. Its totient is φ = 66037248.

The previous prime is 232109131. The next prime is 232109167. The reversal of 232109136 is 631901232.

232109136 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232109131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411991 + ... + 412553.

It is an arithmetic number, because the mean of its divisors is an integer number (6212648).

Almost surely, 2232109136 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 232109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372758880).

232109136 is an abundant number, since it is smaller than the sum of its proper divisors (513408624).

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

232109136 is a wasteful number, since it uses less digits than its factorization.

232109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 232109136 is about 15235.1283552191. The cubic root of 232109136 is about 614.5597007137.

The spelling of 232109136 in words is "two hundred thirty-two million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 409 504 563 818 1008 1126 1227 1636 1689 2252 2454 2863 3272 3378 3681 3941 4504 4908 5067 5726 6544 6756 7362 7882 8589 9008 9816 10134 11452 11823 13512 14724 15764 17178 19632 20268 22904 23646 25767 27024 29448 31528 34356 35469 40536 45808 47292 51534 58896 63056 68712 70938 81072 94584 103068 137424 141876 189168 206136 230267 283752 412272 460534 567504 690801 921068 1381602 1611869 1842136 2072403 2763204 3223738 3684272 4144806 4835607 5526408 6447476 8289612 9671214 11052816 12894952 14506821 16579224 19342428 25789904 29013642 33158448 38684856 58027284 77369712 116054568 232109136