233970048 has 192 divisors, whose sum is σ = 768549600. Its totient is φ = 67682304.

The previous prime is 233970041. The next prime is 233970049. The reversal of 233970048 is 840079332.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×233970048² = 109483966722244608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 233969994 and 233970021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233970041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254133 + ... + 255051.

Almost surely, 2^233970048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384274800).

233970048 is an abundant number, since it is smaller than the sum of its proper divisors (534579552).

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

233970048 is a wasteful number, since it uses less digits than its factorization.

233970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 233970048 is about 15296.0794977014. The cubic root of 233970048 is about 616.1977214284.

The spelling of 233970048 in words is "two hundred thirty-three million, nine hundred seventy thousand, forty-eight".