2223666432 has 360 divisors, whose sum is σ = 7302488424. Its totient is φ = 668860416.

The previous prime is 2223666421. The next prime is 2223666449. The reversal of 2223666432 is 2346663222.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 2203739136 = 4464^2 + 46944^2 .

It is a super-2 number, since 2×2223666432² = 9889384801607221248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19678408 + ... + 19678520.

Almost surely, 2^2223666432 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 2223666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651244212).

2223666432 is an abundant number, since it is smaller than the sum of its proper divisors (5078821992).

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

2223666432 is a wasteful number, since it uses less digits than its factorization.

2223666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2223666432 is about 47155.7677490251. The cubic root of 2223666432 is about 1305.2385136775.

The spelling of 2223666432 in words is "two billion, two hundred twenty-three million, six hundred sixty-six thousand, four hundred thirty-two".