Search a number
-
+
30221795520 = 2633572917231
BaseRepresentation
bin11100001001010111…
…000000000011000000
32220000012122021122000
4130021113000003000
5443343234424040
621514513544000
72116632011010
oct341127000300
986005567560
1030221795520
11118a9463314
125a35275000
132b08310b57
141669aa1c40
15bbd33b130
hex7095c00c0

30221795520 has 448 divisors, whose sum is σ = 126055526400. Its totient is φ = 6669250560.

The previous prime is 30221795503. The next prime is 30221795533. The reversal of 30221795520 is 2559712203.

30221795520 is a `hidden beast` number, since 30 + 2 + 2 + 1 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745305 + ... + 1762535.

Almost surely, 230221795520 is an apocalyptic number.

30221795520 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 30221795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63027763200).

30221795520 is an abundant number, since it is smaller than the sum of its proper divisors (95833730880).

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

30221795520 is a wasteful number, since it uses less digits than its factorization.

30221795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17277 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 30221795520 in words is "thirty billion, two hundred twenty-one million, seven hundred ninety-five thousand, five hundred twenty".