2233145952 has 72 divisors (see below), whose sum is σ = 6522175296. Its totient is φ = 724260096.

The previous prime is 2233145939. The next prime is 2233145953. The reversal of 2233145952 is 2595413322.

2233145952 is a `hidden beast` number, since 22 + 33 + 14 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233145953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94128 + ... + 115439.

It is an arithmetic number, because the mean of its divisors is an integer number (90585768).

Almost surely, 2^2233145952 is an apocalyptic number.

It is an amenable number.

2233145952 is an abundant number, since it is smaller than the sum of its proper divisors (4289029344).

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

2233145952 is a wasteful number, since it uses less digits than its factorization.

2233145952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209620 (or 209609 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2233145952 is about 47256.1736919104. The cubic root of 2233145952 is about 1307.0906340918.

The spelling of 2233145952 in words is "two billion, two hundred thirty-three million, one hundred forty-five thousand, nine hundred fifty-two".