30226533118200 has 384 divisors, whose sum is σ = 105215965747200. Its totient is φ = 7975450045440.

The previous prime is 30226533118189. The next prime is 30226533118211. The reversal of 30226533118200 is 281133562203.

30226533118200 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 6 + 533 + 118 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30226533118189) and next prime (30226533118211).

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 95 ways as a sum of consecutive naturals, for example, 227052057 + ... + 227185143.

It is an arithmetic number, because the mean of its divisors is an integer number (273999910800).

Almost surely, 2^{30226533118200} is an apocalyptic number.

30226533118200 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 30226533118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52607982873600).

30226533118200 is an abundant number, since it is smaller than the sum of its proper divisors (74989432629000).

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

30226533118200 is a wasteful number, since it uses less digits than its factorization.

30226533118200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133556 (or 133541 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30226533118200 in words is "thirty trillion, two hundred twenty-six billion, five hundred thirty-three million, one hundred eighteen thousand, two hundred".