229157432100 has 252 divisors, whose sum is σ = 747333612900. Its totient is φ = 60963840000.

The previous prime is 229157432087. The next prime is 229157432113. The reversal of 229157432100 is 1234751922.

It is an interprime number because it is at equal distance from previous prime (229157432087) and next prime (229157432113).

It can be written as a sum of positive squares in 6 ways, for example, as 3547631844 + 225609800256 = 59562^2 + 474984^2 .

It is a super-2 number, since 2×229157432100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 32728600 + ... + 32735600.

It is an arithmetic number, because the mean of its divisors is an integer number (2965609575).

Almost surely, 2^229157432100 is an apocalyptic number.

229157432100 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 229157432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373666806450).

229157432100 is an abundant number, since it is smaller than the sum of its proper divisors (518176180800).

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

229157432100 is a wasteful number, since it uses less digits than its factorization.

229157432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 229157432100 in words is "two hundred twenty-nine billion, one hundred fifty-seven million, four hundred thirty-two thousand, one hundred".