233228000940 has 288 divisors, whose sum is σ = 744055200000. Its totient is φ = 54480222720.

The previous prime is 233228000921. The next prime is 233228000959. The reversal of 233228000940 is 49000822332.

It is an interprime number because it is at equal distance from previous prime (233228000921) and next prime (233228000959).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155588311 + ... + 155589809.

It is an arithmetic number, because the mean of its divisors is an integer number (2583525000).

Almost surely, 2^233228000940 is an apocalyptic number.

233228000940 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 233228000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372027600000).

233228000940 is an abundant number, since it is smaller than the sum of its proper divisors (510827199060).

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

233228000940 is a wasteful number, since it uses less digits than its factorization.

233228000940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 233228000940 in words is "two hundred thirty-three billion, two hundred twenty-eight million, nine hundred forty", and thus it is an aban number.