233906436 has 27 divisors (see below), whose sum is σ = 591495541. Its totient is φ = 77938224.

The previous prime is 233906423. The next prime is 233906443. The reversal of 233906436 is 634609332.

The square root of 233906436 is 15294.

It is a perfect power (a square), and thus also a powerful number.

233906436 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 0 + 643 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216266436 + 17640000 = 14706^2 + 4200^2 .

It is a super-4 number, since 4×233906436⁴ (a number of 35 digits) contains 4444 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233906436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90490 + ... + 93038.

Almost surely, 2^233906436 is an apocalyptic number.

233906436 is the 15294-th square number.

It is an amenable number.

233906436 is an abundant number, since it is smaller than the sum of its proper divisors (357589105).

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

233906436 is an equidigital number, since it uses as much as digits as its factorization.

233906436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The cubic root of 233906436 is about 616.1418722251.

Multiplying 233906436 by its sum of digits (36), we get a square (8420631696 = 91764²).

233906436 divided by its sum of digits (36) gives a square (6497401 = 2549²).

The spelling of 233906436 in words is "two hundred thirty-three million, nine hundred six thousand, four hundred thirty-six".