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30225888 = 25327112947
BaseRepresentation
bin111001101001…
…1010111100000
32002212122010100
41303103113200
530214212023
62555502400
7514626060
oct163232740
962778110
1030225888
1116075180
12a157a00
136353a54
14402b3a0
1529c0c43
hex1cd35e0

30225888 has 288 divisors, whose sum is σ = 113218560. Its totient is φ = 7418880.

The previous prime is 30225883. The next prime is 30225893. The reversal of 30225888 is 88852203.

It is an interprime number because it is at equal distance from previous prime (30225883) and next prime (30225893).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30225883) 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 47 ways as a sum of consecutive naturals, for example, 643081 + ... + 643127.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 230225888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

30225888 is an abundant number, since it is smaller than the sum of its proper divisors (82992672).

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

30225888 is a wasteful number, since it uses less digits than its factorization.

30225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 30225888 is about 5497.8075630200. The cubic root of 30225888 is about 311.5011752921.

It can be divided in two parts, 30225 and 888, that added together give a palindrome (31113).

The spelling of 30225888 in words is "thirty million, two hundred twenty-five thousand, eight hundred eighty-eight".