229761900 has 144 divisors (see below), whose sum is σ = 756201600. Its totient is φ = 59814720.

The previous prime is 229761887. The next prime is 229761901. The reversal of 229761900 is 9167922.

It is a super-2 number, since 2×229761900² = 105581061383220000, which contains 22 as substring.

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 (229761901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115111 + ... + 117089.

It is an arithmetic number, because the mean of its divisors is an integer number (5251400).

Almost surely, 2^229761900 is an apocalyptic number.

229761900 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 229761900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

229761900 is an abundant number, since it is smaller than the sum of its proper divisors (526439700).

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

229761900 is a wasteful number, since it uses less digits than its factorization.

229761900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 229761900 is about 15157.8989309205. The cubic root of 229761900 is about 612.4810711907.

It can be divided in two parts, 229 and 761900, that added together give a square (762129 = 873²).

The spelling of 229761900 in words is "two hundred twenty-nine million, seven hundred sixty-one thousand, nine hundred".