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30225636000 = 253453713327
BaseRepresentation
bin11100001001100101…
…101001101010100000
32220000110212101210000
4130021211221222200
5443400230323000
621515132140000
72120006444520
oct341145515240
986013771700
1030225636000
111190064676a
125a36607600
132b09056c21
14166a3c1680
15bbd849000
hex709969aa0

30225636000 has 480 divisors, whose sum is σ = 126795981312. Its totient is φ = 6908198400.

The previous prime is 30225635977. The next prime is 30225636011. The reversal of 30225636000 is 63652203.

30225636000 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 56 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2261337 + ... + 2274663.

Almost surely, 230225636000 is an apocalyptic number.

30225636000 is a gapful number since it is divisible by the number (30) 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 30225636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63397990656).

30225636000 is an abundant number, since it is smaller than the sum of its proper divisors (96570345312).

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

30225636000 is a wasteful number, since it uses less digits than its factorization.

30225636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 30225636000 in words is "thirty billion, two hundred twenty-five million, six hundred thirty-six thousand".