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220255464 = 2331113292213
BaseRepresentation
bin11010010000011…
…01010011101000
3120100110010200210
431020031103220
5422341133324
633504501120
75313066132
oct1510152350
9510403623
10220255464
11103368210
126191a7a0
1336829aa0
1421376052
151450ad29
hexd20d4e8

220255464 has 128 divisors (see below), whose sum is σ = 669513600. Its totient is φ = 59458560.

The previous prime is 220255459. The next prime is 220255501. The reversal of 220255464 is 464552022.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98422 + ... + 100634.

It is an arithmetic number, because the mean of its divisors is an integer number (5230575).

Almost surely, 2220255464 is an apocalyptic number.

220255464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220255464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334756800).

220255464 is an abundant number, since it is smaller than the sum of its proper divisors (449258136).

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

220255464 is a wasteful number, since it uses less digits than its factorization.

220255464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 220255464 is about 14841.0061653515. The cubic root of 220255464 is about 603.9146481151.

The spelling of 220255464 in words is "two hundred twenty million, two hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 29 33 39 44 52 58 66 78 87 88 104 116 132 143 156 174 232 264 286 312 319 348 377 429 572 638 696 754 858 957 1131 1144 1276 1508 1716 1914 2213 2262 2552 3016 3432 3828 4147 4426 4524 6639 7656 8294 8852 9048 12441 13278 16588 17704 24343 24882 26556 28769 33176 48686 49764 53112 57538 64177 73029 86307 97372 99528 115076 128354 146058 172614 192531 194744 230152 256708 292116 316459 345228 385062 513416 584232 632918 690456 705947 770124 834301 949377 1265836 1411894 1540248 1668602 1898754 2117841 2502903 2531672 2823788 3337204 3797508 4235682 5005806 5647576 6674408 7595016 8471364 9177311 10011612 16942728 18354622 20023224 27531933 36709244 55063866 73418488 110127732 220255464