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232232004 = 223226923981
BaseRepresentation
bin11011101011110…
…01010001000100
3121011222121102100
431311321101010
5433422411004
635013312100
75516640144
oct1565712104
9534877370
10232232004
1110a0a8384
1265935630
13391611b4
1422bb2924
15155c4739
hexdd79444

232232004 has 36 divisors (see below), whose sum is σ = 589237740. Its totient is φ = 77119680.

The previous prime is 232231997. The next prime is 232232009. The reversal of 232232004 is 400232232.

232232004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 228070404 = 2040^2 + 15102^2 .

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

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 (232232009) 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, 2307 + ... + 21674.

It is an arithmetic number, because the mean of its divisors is an integer number (16367715).

Almost surely, 2232232004 is an apocalyptic number.

It is an amenable number.

232232004 is an abundant number, since it is smaller than the sum of its proper divisors (357005736).

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

232232004 is a wasteful number, since it uses less digits than its factorization.

232232004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24260 (or 24255 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 232232004 is about 15239.1602130826. The cubic root of 232232004 is about 614.6681215521.

Adding to 232232004 its reverse (400232232), we get a palindrome (632464236).

The spelling of 232232004 in words is "two hundred thirty-two million, two hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 23981 47962 71943 95924 143886 215829 287772 431658 863316 6450889 12901778 19352667 25803556 38705334 58058001 77410668 116116002 232232004