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232230100 = 225243531019
BaseRepresentation
bin11011101011110…
…00110011010100
3121011222111210211
431311320303110
5433422330400
635013255204
75516631454
oct1565706324
9534874724
10232230100
1110a0a6a03
1265934504
133916037b
1422bb1d64
15155c3dba
hexdd78cd4

232230100 has 72 divisors (see below), whose sum is σ = 525903840. Its totient is φ = 88932480.

The previous prime is 232230073. The next prime is 232230113. The reversal of 232230100 is 1032232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227391 + ... + 228409.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2232230100 is an apocalyptic number.

232230100 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 232230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

232230100 is an abundant number, since it is smaller than the sum of its proper divisors (293673740).

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

232230100 is a wasteful number, since it uses less digits than its factorization.

232230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232230100 is about 15239.0977423206. The cubic root of 232230100 is about 614.6664417215. Note that the first 3 decimals are identical.

Adding to 232230100 its reverse (1032232), we get a palindrome (233262332).

The spelling of 232230100 in words is "two hundred thirty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1019 1060 1075 1325 2038 2150 2279 2650 4076 4300 4558 5095 5300 9116 10190 11395 20380 22790 25475 43817 45580 50950 54007 56975 87634 101900 108014 113950 175268 216028 219085 227900 270035 438170 540070 876340 1080140 1095425 1350175 2190850 2322301 2700350 4381700 4644602 5400700 9289204 11611505 23223010 46446020 58057525 116115050 232230100