233673552 has 320 divisors, whose sum is σ = 833280000. Its totient is φ = 62487936.

The previous prime is 233673541. The next prime is 233673553. The reversal of 233673552 is 255376332.

233673552 is a `hidden beast` number, since 2 + 3 + 36 + 73 + 552 = 666.

233673552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (113400) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233673553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2815303 + ... + 2815385.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^233673552 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 233673552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640000).

233673552 is an abundant number, since it is smaller than the sum of its proper divisors (599606448).

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

233673552 is a wasteful number, since it uses less digits than its factorization.

233673552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 233673552 is about 15286.3845300319. The cubic root of 233673552 is about 615.9373214463.

The spelling of 233673552 in words is "two hundred thirty-three million, six hundred seventy-three thousand, five hundred fifty-two".