229904629560 has 160 divisors (see below), whose sum is σ = 776782828800. Its totient is φ = 60986753280.

The previous prime is 229904629553. The next prime is 229904629567. The reversal of 229904629560 is 65926409922.

It is a happy number.

229904629560 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 0 + 4 + 629 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229904629553) and next prime (229904629567).

It is a super-2 number, since 2×229904629560² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 229904629497 and 229904629506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229904629567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433086 + ... + 804594.

It is an arithmetic number, because the mean of its divisors is an integer number (4854892680).

Almost surely, 2^229904629560 is an apocalyptic number.

229904629560 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 229904629560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388391414400).

229904629560 is an abundant number, since it is smaller than the sum of its proper divisors (546878199240).

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

229904629560 is a wasteful number, since it uses less digits than its factorization.

229904629560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371723 (or 371710 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 229904629560 in words is "two hundred twenty-nine billion, nine hundred four million, six hundred twenty-nine thousand, five hundred sixty".