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11225434320 = 2432515590881
BaseRepresentation
bin10100111010001011…
…01000100011010000
31001222022122010222200
422131011220203100
5140442202344240
65053520003200
7545114421522
oct123505504320
931868563880
1011225434320
114840512a51
122213460500
13109b848739
14786bd3a12
1545a76e930
hex29d1688d0

11225434320 has 60 divisors (see below), whose sum is σ = 37698752676. Its totient is φ = 2993448960.

The previous prime is 11225434301. The next prime is 11225434393. The reversal of 11225434320 is 2343452211.

11225434320 is a `hidden beast` number, since 1 + 1 + 225 + 4 + 3 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5352970896 + 5872463424 = 73164^2 + 76632^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7794721 + ... + 7796160.

Almost surely, 211225434320 is an apocalyptic number.

11225434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11225434320 is an abundant number, since it is smaller than the sum of its proper divisors (26473318356).

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

11225434320 is a wasteful number, since it uses less digits than its factorization.

11225434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15590900 (or 15590891 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 11225434320 its reverse (2343452211), we get a palindrome (13568886531).

The spelling of 11225434320 in words is "eleven billion, two hundred twenty-five million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15590881 31181762 46772643 62363524 77954405 93545286 124727048 140317929 155908810 187090572 233863215 249454096 280635858 311817620 374181144 467726430 561271716 623635240 701589645 748362288 935452860 1122543432 1247270480 1403179290 1870905720 2245086864 2806358580 3741811440 5612717160 11225434320