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225054672120 = 233255931054219
BaseRepresentation
bin1101000110011001001…
…1011100010011111000
3210111220110001220100200
43101212103130103320
512141402444001440
6251215542402200
722155031102215
oct3214623342370
9714813056320
10225054672120
118749954a1a3
123774a430360
13182b7c88555
14ac6d81ab0c
155cc2d45c30
hex34664dc4f8

225054672120 has 96 divisors (see below), whose sum is σ = 732661815600. Its totient is φ = 59913317376.

The previous prime is 225054672107. The next prime is 225054672131. The reversal of 225054672120 is 21276450522.

225054672120 is a `hidden beast` number, since 2 + 25 + 0 + 546 + 72 + 1 + 20 = 666.

225054672120 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313630 + ... + 740589.

Almost surely, 2225054672120 is an apocalyptic number.

225054672120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225054672120 is an abundant number, since it is smaller than the sum of its proper divisors (507607143480).

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

225054672120 is a wasteful number, since it uses less digits than its factorization.

225054672120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054829 (or 1054822 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 225054672120 in words is "two hundred twenty-five billion, fifty-four million, six hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 593 1186 1779 2372 2965 3558 4744 5337 5930 7116 8895 10674 11860 14232 17790 21348 23720 26685 35580 42696 53370 71160 106740 213480 1054219 2108438 3162657 4216876 5271095 6325314 8433752 9487971 10542190 12650628 15813285 18975942 21084380 25301256 31626570 37951884 42168760 47439855 63253140 75903768 94879710 126506280 189759420 379518840 625151867 1250303734 1875455601 2500607468 3125759335 3750911202 5001214936 5626366803 6251518670 7501822404 9377278005 11252733606 12503037340 15003644808 18754556010 22505467212 25006074680 28131834015 37509112020 45010934424 56263668030 75018224040 112527336060 225054672120