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220056432 = 24317479563
BaseRepresentation
bin11010001110111…
…00101101110000
3120100002000200020
431013130231300
5422313301212
633500323440
75311306641
oct1507345560
9510060606
10220056432
11103241722
1261843580
133678a30b
14213236c8
15144bbd8c
hexd1dcb70

220056432 has 80 divisors (see below), whose sum is σ = 604247040. Its totient is φ = 68770816.

The previous prime is 220056409. The next prime is 220056443. The reversal of 220056432 is 234650022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390583 + ... + 391145.

It is an arithmetic number, because the mean of its divisors is an integer number (7553088).

Almost surely, 2220056432 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 220056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302123520).

220056432 is an abundant number, since it is smaller than the sum of its proper divisors (384190608).

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

220056432 is a wasteful number, since it uses less digits than its factorization.

220056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 220056432 is about 14834.2991745482. The cubic root of 220056432 is about 603.7326858282.

The spelling of 220056432 in words is "two hundred twenty million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 479 563 816 958 1126 1437 1689 1916 2252 2874 3378 3832 4504 5748 6756 7664 8143 9008 9571 11496 13512 16286 19142 22992 24429 27024 28713 32572 38284 48858 57426 65144 76568 97716 114852 130288 153136 195432 229704 269677 390864 459408 539354 809031 1078708 1618062 2157416 3236124 4314832 4584509 6472248 9169018 12944496 13753527 18338036 27507054 36676072 55014108 73352144 110028216 220056432