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225724022672 = 2453442160209
BaseRepresentation
bin1101001000111000110…
…0110011111110010000
3210120122002120102200212
43102032030303332100
512144240322211142
6251410213103252
722210436351441
oct3221614637620
9716562512625
10225724022672
1187802365175
12378b6627b28
1318393856175
14acd46972c8
155d119b1d82
hex348e333f90

225724022672 has 40 divisors (see below), whose sum is σ = 445700189880. Its totient is φ = 110705653760.

The previous prime is 225724022659. The next prime is 225724022743. The reversal of 225724022672 is 276220427522.

225724022672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20174225296 + 205549797376 = 142036^2 + 453376^2 .

It is a super-2 number, since 2×2257240226722 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3718904 + ... + 3779112.

It is an arithmetic number, because the mean of its divisors is an integer number (11142504747).

Almost surely, 2225724022672 is an apocalyptic number.

It is an amenable number.

225724022672 is a deficient number, since it is larger than the sum of its proper divisors (219976167208).

225724022672 is a wasteful number, since it uses less digits than its factorization.

225724022672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691 (or 64685 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 225724022672 in words is "two hundred twenty-five billion, seven hundred twenty-four million, twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 53 106 212 424 848 4421 8842 17684 35368 60209 70736 120418 234313 240836 468626 481672 937252 963344 1874504 3191077 3749008 6382154 12764308 25528616 51057232 266183989 532367978 1064735956 2129471912 4258943824 14107751417 28215502834 56431005668 112862011336 225724022672