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232321140 = 223251290673
BaseRepresentation
bin11011101100011…
…11000001110100
3121012011010200200
431312033001310
5433433234030
635015240500
75520461052
oct1566170164
9535133620
10232321140
1110a159347
1265979130
133919293c
1422bd71d2
15155e0d60
hexdd8f074

232321140 has 36 divisors (see below), whose sum is σ = 704708004. Its totient is φ = 61952256.

The previous prime is 232321139. The next prime is 232321147. The reversal of 232321140 is 41123232.

It can be written as a sum of positive squares in 2 ways, for example, as 123076836 + 109244304 = 11094^2 + 10452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2323211402 = 107946224181799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232321147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645157 + ... + 645516.

Almost surely, 2232321140 is an apocalyptic number.

232321140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232321140 is an abundant number, since it is smaller than the sum of its proper divisors (472386864).

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

232321140 is a wasteful number, since it uses less digits than its factorization.

232321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290688 (or 1290683 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232321140 is about 15242.0845031118. The cubic root of 232321140 is about 614.7467527607.

Adding to 232321140 its reverse (41123232), we get a palindrome (273444372).

The spelling of 232321140 in words is "two hundred thirty-two million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1290673 2581346 3872019 5162692 6453365 7744038 11616057 12906730 15488076 19360095 23232114 25813460 38720190 46464228 58080285 77440380 116160570 232321140