Search a number
-
+
220828600 = 23528771259
BaseRepresentation
bin11010010100110…
…01001110111000
3120101112020220001
431022121032320
5423013003400
633525042344
75321004106
oct1512311670
9511466801
10220828600
11103719883
1261b563b4
133699a915
1421484c76
15145c0a6a
hexd2993b8

220828600 has 48 divisors (see below), whose sum is σ = 514420200. Its totient is φ = 88160640.

The previous prime is 220828561. The next prime is 220828603. The reversal of 220828600 is 6828022.

It is a happy number.

220828600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220828603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174771 + ... + 176029.

Almost surely, 2220828600 is an apocalyptic number.

220828600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220828600 is an abundant number, since it is smaller than the sum of its proper divisors (293591600).

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

220828600 is a wasteful number, since it uses less digits than its factorization.

220828600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 220828600 is about 14860.3028232940. The cubic root of 220828600 is about 604.4380183120.

The spelling of 220828600 in words is "two hundred twenty million, eight hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 877 1259 1754 2518 3508 4385 5036 6295 7016 8770 10072 12590 17540 21925 25180 31475 35080 43850 50360 62950 87700 125900 175400 251800 1104143 2208286 4416572 5520715 8833144 11041430 22082860 27603575 44165720 55207150 110414300 220828600