Search a number
-
+
220788904 = 23724391283
BaseRepresentation
bin11010010100011…
…11100010101000
3120101110020102211
431022033202220
5423010221104
633524134504
75320450300
oct1512174250
9511406384
10220788904
111036a1a76
1261b37434
133698582b
1421474600
15145b3e04
hexd28f8a8

220788904 has 48 divisors (see below), whose sum is σ = 483040800. Its totient is φ = 94334688.

The previous prime is 220788899. The next prime is 220788941. The reversal of 220788904 is 409887022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171447 + ... + 172729.

It is an arithmetic number, because the mean of its divisors is an integer number (10063350).

Almost surely, 2220788904 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 220788904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241520400).

220788904 is an abundant number, since it is smaller than the sum of its proper divisors (262251896).

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

220788904 is a wasteful number, since it uses less digits than its factorization.

220788904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 220788904 is about 14858.9671242654. The cubic root of 220788904 is about 604.4017983517.

The spelling of 220788904 in words is "two hundred twenty million, seven hundred eighty-eight thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 439 878 1283 1756 2566 3073 3512 5132 6146 8981 10264 12292 17962 21511 24584 35924 43022 62867 71848 86044 125734 172088 251468 502936 563237 1126474 2252948 3942659 4505896 7885318 15770636 27598613 31541272 55197226 110394452 220788904