223135235904 has 224 divisors, whose sum is σ = 720970018560. Its totient is φ = 59451604992.

The previous prime is 223135235881. The next prime is 223135235933. The reversal of 223135235904 is 409532531322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×223135235904³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445634 + ... + 2535230.

Almost surely, 2^223135235904 is an apocalyptic number.

223135235904 is a gapful number since it is divisible by the number (24) 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 223135235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360485009280).

223135235904 is an abundant number, since it is smaller than the sum of its proper divisors (497834782656).

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

223135235904 is a wasteful number, since it uses less digits than its factorization.

223135235904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89745 (or 89735 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 223135235904 in words is "two hundred twenty-three billion, one hundred thirty-five million, two hundred thirty-five thousand, nine hundred four".