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220131232 = 25171133581
BaseRepresentation
bin11010001111011…
…10111110100000
3120100012211021121
431013232332200
5422323144412
633502102024
75312041006
oct1507567640
9510184247
10220131232
11103292942
126187a914
13367b5389
1421342a76
15144d4107
hexd1eefa0

220131232 has 48 divisors (see below), whose sum is σ = 463066632. Its totient is φ = 102645760.

The previous prime is 220131227. The next prime is 220131239. The reversal of 220131232 is 232131022.

It can be written as a sum of positive squares in 4 ways, for example, as 194769936 + 25361296 = 13956^2 + 5036^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220131239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59682 + ... + 63262.

Almost surely, 2220131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231533316).

220131232 is an abundant number, since it is smaller than the sum of its proper divisors (242935400).

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

220131232 is a wasteful number, since it uses less digits than its factorization.

220131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 220131232 is about 14836.8201444919. The cubic root of 220131232 is about 603.8010835701.

Adding to 220131232 its reverse (232131022), we get a palindrome (452262254).

It can be divided in two parts, 2201 and 31232, that added together give a palindrome (33433).

The spelling of 220131232 in words is "two hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3581 3616 3842 7162 7684 14324 15368 28648 30736 57296 60877 61472 114592 121754 243508 404653 487016 809306 974032 1618612 1948064 3237224 6474448 6879101 12948896 13758202 27516404 55032808 110065616 220131232