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225621195552 = 2533261135643
BaseRepresentation
bin1101001000100000010…
…0100011101100100000
3210120100221002021102000
43102020010203230200
512144033011224202
6251352101124000
722205050343064
oct3221004435440
9716327067360
10225621195552
118775a312685
12378880b9600
131837846290c
14acc4b6baa4
155d0794e91c
hex3488123b20

225621195552 has 48 divisors (see below), whose sum is σ = 658061822880. Its totient is φ = 75207064896.

The previous prime is 225621195551. The next prime is 225621195559. The reversal of 225621195552 is 255591126522.

225621195552 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 1 + 1 + 95 + 552 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225621195498 and 225621195507.

It is not an unprimeable number, because it can be changed into a prime (225621195551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130566958 + ... + 130568685.

It is an arithmetic number, because the mean of its divisors is an integer number (13709621310).

Almost surely, 2225621195552 is an apocalyptic number.

It is an amenable number.

225621195552 is an abundant number, since it is smaller than the sum of its proper divisors (432440627328).

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

225621195552 is a wasteful number, since it uses less digits than its factorization.

225621195552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261135662 (or 261135648 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 225621195552 in words is "two hundred twenty-five billion, six hundred twenty-one million, one hundred ninety-five thousand, five hundred fifty-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 261135643 522271286 783406929 1044542572 1566813858 2089085144 2350220787 3133627716 4178170288 4700441574 6267255432 7050662361 8356340576 9400883148 12534510864 14101324722 18801766296 25069021728 28202649444 37603532592 56405298888 75207065184 112810597776 225621195552