30228145920 has 288 divisors, whose sum is σ = 122592906240. Its totient is φ = 6909235200.

The previous prime is 30228145897. The next prime is 30228145933. The reversal of 30228145920 is 2954182203.

It is a happy number.

30228145920 is a `hidden beast` number, since 30 + 2 + 28 + 14 + 592 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179445 + ... + 304395.

Almost surely, 2^30228145920 is an apocalyptic number.

30228145920 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 30228145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61296453120).

30228145920 is an abundant number, since it is smaller than the sum of its proper divisors (92364760320).

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

30228145920 is a wasteful number, since it uses less digits than its factorization.

30228145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124988 (or 124968 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30228145920 in words is "thirty billion, two hundred twenty-eight million, one hundred forty-five thousand, nine hundred twenty".