Search a number
-
+
220570688 = 2613220393
BaseRepresentation
bin11010010010110…
…10010001000000
3120101001011002202
431021122101000
5422431230223
633515332332
75315551142
oct1511322100
9511034082
10220570688
11103563028
1261a510a8
133690a400
1421418c92
151456e428
hexd25a440

220570688 has 42 divisors (see below), whose sum is σ = 473976954. Its totient is φ = 101796864.

The previous prime is 220570687. The next prime is 220570697. The reversal of 220570688 is 886075022.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 220463104 = 328^2 + 14848^2 .

It is not an unprimeable number, because it can be changed into a prime (220570687) 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, 620 + ... + 21012.

Almost surely, 2220570688 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 220570688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236988477).

220570688 is an abundant number, since it is smaller than the sum of its proper divisors (253406266).

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

220570688 is a wasteful number, since it uses less digits than its factorization.

220570688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20431 (or 20408 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 220570688 is about 14851.6224029565. The cubic root of 220570688 is about 604.2026131943.

The spelling of 220570688 in words is "two hundred twenty million, five hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 20393 40786 81572 163144 265109 326288 530218 652576 1060436 1305152 2120872 3446417 4241744 6892834 8483488 13785668 16966976 27571336 55142672 110285344 220570688