229057920 has 768 divisors, whose sum is σ = 1069286400. Its totient is φ = 43794432.

The previous prime is 229057903. The next prime is 229057951. The reversal of 229057920 is 29750922.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9959029 + ... + 9959051.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^229057920 is an apocalyptic number.

229057920 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 229057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

229057920 is an abundant number, since it is smaller than the sum of its proper divisors (840228480).

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

229057920 is a wasteful number, since it uses less digits than its factorization.

229057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 229057920 is about 15134.6595600958. The cubic root of 229057920 is about 611.8548931895.

The spelling of 229057920 in words is "two hundred twenty-nine million, fifty-seven thousand, nine hundred twenty".