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225067756004 = 227131075778673
BaseRepresentation
bin1101000110011100010…
…1010110100111100100
3210111221100200122001222
43101213011112213210
512141414321143004
6251221131035512
722155250234520
oct3214705264744
9714840618058
10225067756004
11874a5976323
123775289bb98
13182ba8b99b0
14ac71464d80
155cc407c7be
hex34671569e4

225067756004 has 48 divisors (see below), whose sum is σ = 489291884928. Its totient is φ = 88205649408.

The previous prime is 225067756003. The next prime is 225067756019. The reversal of 225067756004 is 400657760522.

225067756004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225067756003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2850389 + ... + 2928284.

It is an arithmetic number, because the mean of its divisors is an integer number (10193580936).

Almost surely, 2225067756004 is an apocalyptic number.

It is an amenable number.

225067756004 is an abundant number, since it is smaller than the sum of its proper divisors (264224128924).

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

225067756004 is a wasteful number, since it uses less digits than its factorization.

225067756004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778804 (or 5778802 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 225067756004 in words is "two hundred twenty-five billion, sixty-seven million, seven hundred fifty-six thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 107 182 214 364 428 749 1391 1498 2782 2996 5564 9737 19474 38948 5778673 11557346 23114692 40450711 75122749 80901422 150245498 161802844 300490996 525859243 618318011 1051718486 1236636022 2103436972 2473272044 4328226077 8038134143 8656452154 16076268286 17312904308 32152536572 56266939001 112533878002 225067756004