Search a number
-
+
220631296 = 283723293
BaseRepresentation
bin11010010011010…
…01000100000000
3120101011020020111
431021221010000
5422440200141
633520521104
75316222634
oct1511510400
9511136214
10220631296
111035a4616
1261a80194
133692bb82
1421432dc4
1514582381
hexd269100

220631296 has 36 divisors (see below), whose sum is σ = 452322892. Its totient is φ = 107329536.

The previous prime is 220631273. The next prime is 220631297. The reversal of 220631296 is 692136022.

It can be written as a sum of positive squares in 2 ways, for example, as 93392896 + 127238400 = 9664^2 + 11280^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (220631297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2175 + ... + 21118.

Almost surely, 2220631296 is an apocalyptic number.

It is an amenable number.

220631296 is an abundant number, since it is smaller than the sum of its proper divisors (231691596).

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

220631296 is an equidigital number, since it uses as much as digits as its factorization.

220631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23346 (or 23332 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 220631296 is about 14853.6627132839. The cubic root of 220631296 is about 604.2579486799.

The spelling of 220631296 in words is "two hundred twenty million, six hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 23293 46586 93172 186344 372688 745376 861841 1490752 1723682 2981504 3447364 5963008 6894728 13789456 27578912 55157824 110315648 220631296