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225054126432 = 2533260479313
BaseRepresentation
bin1101000110011001000…
…1010111000101100000
3210111220102001011211000
43101212101113011200
512141402324021212
6251215522552000
722155023340252
oct3214621270540
9714812034730
10225054126432
1187499207213
123774a208600
13182b7b27065
14ac6d717cd2
155cc2c891dc
hex3466457160

225054126432 has 48 divisors (see below), whose sum is σ = 656407871280. Its totient is φ = 75018041856.

The previous prime is 225054126397. The next prime is 225054126439. The reversal of 225054126432 is 234621450522.

225054126432 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 5 + 4 + 1 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225054126439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130238793 + ... + 130240520.

It is an arithmetic number, because the mean of its divisors is an integer number (13675163985).

Almost surely, 2225054126432 is an apocalyptic number.

It is an amenable number.

225054126432 is an abundant number, since it is smaller than the sum of its proper divisors (431353744848).

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

225054126432 is a wasteful number, since it uses less digits than its factorization.

225054126432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260479332 (or 260479318 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 225054126432 its reverse (234621450522), we get a palindrome (459675576954).

The spelling of 225054126432 in words is "two hundred twenty-five billion, fifty-four million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 260479313 520958626 781437939 1041917252 1562875878 2083834504 2344313817 3125751756 4167669008 4688627634 6251503512 7032941451 8335338016 9377255268 12503007024 14065882902 18754510536 25006014048 28131765804 37509021072 56263531608 75018042144 112527063216 225054126432