Search a number
-
+
232131144 = 23379711423
BaseRepresentation
bin11011101011000…
…00101001001000
3121011210111001210
431311200221020
5433411144034
635011213120
75516040120
oct1565405110
9534714053
10232131144
1110a039623
12658a71a0
133912730b
1422b87c80
15155a48e9
hexdd60a48

232131144 has 64 divisors (see below), whose sum is σ = 664381440. Its totient is φ = 66208320.

The previous prime is 232131101. The next prime is 232131161. The reversal of 232131144 is 441131232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232131144.

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, 162417 + ... + 163839.

It is an arithmetic number, because the mean of its divisors is an integer number (10380960).

Almost surely, 2232131144 is an apocalyptic number.

232131144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232131144 is an abundant number, since it is smaller than the sum of its proper divisors (432250296).

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

232131144 is a wasteful number, since it uses less digits than its factorization.

232131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 232131144 is about 15235.8506162275. The cubic root of 232131144 is about 614.5791237642.

Adding to 232131144 its reverse (441131232), we get a palindrome (673262376).

The spelling of 232131144 in words is "two hundred thirty-two million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 971 1423 1942 2846 2913 3884 4269 5692 5826 6797 7768 8538 9961 11384 11652 13594 17076 19922 20391 23304 27188 29883 34152 39844 40782 54376 59766 79688 81564 119532 163128 239064 1381733 2763466 4145199 5526932 8290398 9672131 11053864 16580796 19344262 29016393 33161592 38688524 58032786 77377048 116065572 232131144