226875841920 has 3072 divisors, whose sum is σ = 1131732725760. Its totient is φ = 42042654720.

The previous prime is 226875841919. The next prime is 226875842021. The reversal of 226875841920 is 29148578622.

226875841920 is a `hidden beast` number, since 2 + 26 + 8 + 7 + 584 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5533557100 + ... + 5533557140.

It is an arithmetic number, because the mean of its divisors is an integer number (368402580).

Almost surely, 2^226875841920 is an apocalyptic number.

226875841920 is a gapful number since it is divisible by the number (20) 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 226875841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565866362880).

226875841920 is an abundant number, since it is smaller than the sum of its proper divisors (904856883840).

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

226875841920 is a wasteful number, since it uses less digits than its factorization.

226875841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 226875841920 in words is "two hundred twenty-six billion, eight hundred seventy-five million, eight hundred forty-one thousand, nine hundred twenty".