10229924232 has 192 divisors, whose sum is σ = 31388947200. Its totient is φ = 2981422080.

The previous prime is 10229924231. The next prime is 10229924249. The reversal of 10229924232 is 23242992201.

It is a happy number.

10229924232 is a `hidden beast` number, since 1 + 0 + 229 + 9 + 2 + 423 + 2 = 666.

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 (10229924231) 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, 7188273 + ... + 7189695.

It is an arithmetic number, because the mean of its divisors is an integer number (163484100).

Almost surely, 2^10229924232 is an apocalyptic number.

10229924232 is a gapful number since it is divisible by the number (12) 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 10229924232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694473600).

10229924232 is an abundant number, since it is smaller than the sum of its proper divisors (21159022968).

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

10229924232 is a wasteful number, since it uses less digits than its factorization.

10229924232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10229924232 in words is "ten billion, two hundred twenty-nine million, nine hundred twenty-four thousand, two hundred thirty-two".