Search a number
-
+
225260354520 = 233254011560407
BaseRepresentation
bin1101000111001010010…
…0000011101111011000
3210112102210002122120100
43101302210003233120
512142313122321040
6251252211055400
722163106264315
oct3216244035730
9715383078510
10225260354520
1187594663453
12377a72a1560
131831b782106
14ac8cc7bd0c
155cd5e23b30
hex3472903bd8

225260354520 has 96 divisors (see below), whose sum is σ = 733922298720. Its totient is φ = 59919590400.

The previous prime is 225260354503. The next prime is 225260354531. The reversal of 225260354520 is 25453062522.

225260354520 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 603 + 5 + 45 + 2 + 0 = 666.

225260354520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635844 + ... + 924563.

It is an arithmetic number, because the mean of its divisors is an integer number (7645023945).

Almost surely, 2225260354520 is an apocalyptic number.

225260354520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225260354520 is an abundant number, since it is smaller than the sum of its proper divisors (508661944200).

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

225260354520 is a wasteful number, since it uses less digits than its factorization.

225260354520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560825 (or 1560818 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 225260354520 in words is "two hundred twenty-five billion, two hundred sixty million, three hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 12030 14436 16040 18045 24060 28872 36090 48120 72180 144360 1560407 3120814 4681221 6241628 7802035 9362442 12483256 14043663 15604070 18724884 23406105 28087326 31208140 37449768 46812210 56174652 62416280 70218315 93624420 112349304 140436630 187248840 280873260 561746520 625723207 1251446414 1877169621 2502892828 3128616035 3754339242 5005785656 5631508863 6257232070 7508678484 9385848105 11263017726 12514464140 15017356968 18771696210 22526035452 25028928280 28157544315 37543392420 45052070904 56315088630 75086784840 112630177260 225260354520