223705578272 has 90 divisors (see below), whose sum is σ = 485161498395. Its totient is φ = 101537198400.

The previous prime is 223705578241. The next prime is 223705578277. The reversal of 223705578272 is 272875507322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 111852789136 + 111852789136 = 334444^2 + 334444^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334444.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 223705578272.

It is not an unprimeable number, because it can be changed into a prime (223705578277) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 323741447 + ... + 323742137.

Almost surely, 2^223705578272 is an apocalyptic number.

223705578272 is a gapful number since it is divisible by the number (22) 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 223705578272

223705578272 is an abundant number, since it is smaller than the sum of its proper divisors (261455920123).

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

223705578272 is an frugal number, since it uses more digits than its factorization.

223705578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 50.

Multiplying 223705578272 by its sum of digits (50), we get a square (11185278913600 = 3344440²).

The spelling of 223705578272 in words is "two hundred twenty-three billion, seven hundred five million, five hundred seventy-eight thousand, two hundred seventy-two".