10002232032 has 96 divisors (see below), whose sum is σ = 28296380448. Its totient is φ = 3075342336.

The previous prime is 10002231931. The next prime is 10002232061. The reversal of 10002232032 is 23023220001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635128 + ... + 2638920.

It is an arithmetic number, because the mean of its divisors is an integer number (294753963).

Almost surely, 2^10002232032 is an apocalyptic number.

10002232032 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 10002232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148190224).

10002232032 is an abundant number, since it is smaller than the sum of its proper divisors (18294148416).

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

10002232032 is a wasteful number, since it uses less digits than its factorization.

10002232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10002232032 its reverse (23023220001), we get a palindrome (33025452033).

The spelling of 10002232032 in words is "ten billion, two million, two hundred thirty-two thousand, thirty-two".