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232114120 = 23574120219
BaseRepresentation
bin11011101010111…
…00011111001000
3121011202121201021
431311130133020
5433410122440
635011002224
75515636360
oct1565343710
9534677637
10232114120
1110a027857
1265899374
133911c644
1422b819a0
151559e84a
hexdd5c7c8

232114120 has 64 divisors (see below), whose sum is σ = 611452800. Its totient is φ = 77637120.

The previous prime is 232114117. The next prime is 232114139. The reversal of 232114120 is 21411232.

It is a junction number, because it is equal to n+sod(n) for n = 232114094 and 232114103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371 + ... + 21589.

It is an arithmetic number, because the mean of its divisors is an integer number (9553950).

Almost surely, 2232114120 is an apocalyptic number.

232114120 is a gapful number since it is divisible by the number (20) 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 232114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305726400).

232114120 is an abundant number, since it is smaller than the sum of its proper divisors (379338680).

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

232114120 is a wasteful number, since it uses less digits than its factorization.

232114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20278 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 232114120 is about 15235.2919236882. The cubic root of 232114120 is about 614.5640994255.

Adding to 232114120 its reverse (21411232), we get a palindrome (253525352).

The spelling of 232114120 in words is "two hundred thirty-two million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 20219 40438 80876 101095 141533 161752 202190 283066 404380 566132 707665 808760 828979 1132264 1415330 1657958 2830660 3315916 4144895 5661320 5802853 6631832 8289790 11605706 16579580 23211412 29014265 33159160 46422824 58028530 116057060 232114120