238622480100 has 243 divisors, whose sum is σ = 790308698907. Its totient is φ = 60213231360.

The previous prime is 238622480087. The next prime is 238622480101. The reversal of 238622480100 is 1084226832.

The square root of 238622480100 is 488490.

It is a perfect power (a square), and thus also a powerful number.

238622480100 is a `hidden beast` number, since 23 + 8 + 622 + 4 + 8 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31102144164 + 207520335936 = 176358^2 + 455544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (238622480101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 278438872 + ... + 278439728.

Almost surely, 2^238622480100 is an apocalyptic number.

238622480100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238622480100 is the 488490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238622480100

238622480100 is an abundant number, since it is smaller than the sum of its proper divisors (551686218807).

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

238622480100 is a wasteful number, since it uses less digits than its factorization.

238622480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 238622480100 by its sum of digits (36), we get a square (8590409283600 = 2930940²).

238622480100 divided by its sum of digits (36) gives a square (6628402225 = 81415²).

The spelling of 238622480100 in words is "two hundred thirty-eight billion, six hundred twenty-two million, four hundred eighty thousand, one hundred".