Search a number
-
+
2200481568 = 2532892932
BaseRepresentation
bin1000001100101000…
…1010111100100000
312200100121001020100
42003022022330200
514001310402233
61002203542400
7105346533105
oct20312127440
95610531210
102200481568
11a2a12940a
12514b2aa00
13290b6c8cc
1416c364aac
15cd2b4813
hex8328af20

2200481568 has 108 divisors (see below), whose sum is σ = 6349600530. Its totient is φ = 722777088.

The previous prime is 2200481551. The next prime is 2200481623. The reversal of 2200481568 is 8651840022.

It can be written as a sum of positive squares in 3 ways, for example, as 2200360464 + 121104 = 46908^2 + 348^2 .

It is a super-2 number, since 2×22004815682 = 9684238262215477248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7510030 + ... + 7510322.

Almost surely, 22200481568 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 2200481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174800265).

2200481568 is an abundant number, since it is smaller than the sum of its proper divisors (4149118962).

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

2200481568 is an equidigital number, since it uses as much as digits as its factorization.

2200481568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2200481568 is about 46909.2908494682. The cubic root of 2200481568 is about 1300.6863373859.

The spelling of 2200481568 in words is "two billion, two hundred million, four hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 293 356 534 586 712 801 879 1068 1172 1424 1602 1758 2136 2344 2637 2848 3204 3516 4272 4688 5274 6408 7032 8544 9376 10548 12816 14064 21096 25632 26077 28128 42192 52154 78231 84384 85849 104308 156462 171698 208616 234693 257547 312924 343396 417232 469386 515094 625848 686792 772641 834464 938772 1030188 1251696 1373584 1545282 1877544 2060376 2503392 2747168 3090564 3755088 4120752 6181128 7510176 7640561 8241504 12362256 15281122 22921683 24724512 30562244 45843366 61124488 68765049 91686732 122248976 137530098 183373464 244497952 275060196 366746928 550120392 733493856 1100240784 2200481568