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225925245774720 = 27345149191153137
BaseRepresentation
bin110011010111101001010010…
…000001010010101110000000
31002121221020112211101000020000
4303113221102001102232000
5214103024400404242340
62120300343004120000
765405363126410062
oct6327512201225600
91077836484330200
10225925245774720
1165a943a4420968
12214099ab836000
13990a87551c8bb
143db0ba9893732
151b1bc7a1e2d30
hexcd7a52052b80

225925245774720 has 640 divisors, whose sum is σ = 816492612672000. Its totient is φ = 59528692039680.

The previous prime is 225925245774703. The next prime is 225925245774769. The reversal of 225925245774720 is 27477542529522.

225925245774720 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 2 + 52 + 4 + 577 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1475237992 + ... + 1475391128.

It is an arithmetic number, because the mean of its divisors is an integer number (1275769707300).

Almost surely, 2225925245774720 is an apocalyptic number.

225925245774720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225925245774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408246306336000).

225925245774720 is an abundant number, since it is smaller than the sum of its proper divisors (590567366897280).

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

225925245774720 is a wasteful number, since it uses less digits than its factorization.

225925245774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153508 (or 153487 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 63.

The spelling of 225925245774720 in words is "two hundred twenty-five trillion, nine hundred twenty-five billion, two hundred forty-five million, seven hundred seventy-four thousand, seven hundred twenty".