Search a number
-
+
232504400 = 2452581261
BaseRepresentation
bin11011101101110…
…11110001010000
3121012111110002002
431312323301100
5434010120100
635023213132
75522153252
oct1566736120
9535443062
10232504400
1110a273aa7
1265a471a8
133922818b
1422c43cd2
151562a2d5
hexddbbc50

232504400 has 30 divisors (see below), whose sum is σ = 558592782. Its totient is φ = 93001600.

The previous prime is 232504381. The next prime is 232504403. The reversal of 232504400 is 4405232.

It can be written as a sum of positive squares in 3 ways, for example, as 54228496 + 178275904 = 7364^2 + 13352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232504403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290231 + ... + 291030.

Almost surely, 2232504400 is an apocalyptic number.

232504400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232504400 is an abundant number, since it is smaller than the sum of its proper divisors (326088382).

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

232504400 is a wasteful number, since it uses less digits than its factorization.

232504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581279 (or 581268 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 232504400 is about 15248.0949629782. The cubic root of 232504400 is about 614.9083521749.

Adding to 232504400 its reverse (4405232), we get a palindrome (236909632).

The spelling of 232504400 in words is "two hundred thirty-two million, five hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 581261 1162522 2325044 2906305 4650088 5812610 9300176 11625220 14531525 23250440 29063050 46500880 58126100 116252200 232504400