223252898400 has 1296 divisors, whose sum is σ = 958607395200. Its totient is φ = 48693657600.

The previous prime is 223252898399. The next prime is 223252898419. The reversal of 223252898400 is 4898252322.

223252898400 is a `hidden beast` number, since 2 + 2 + 32 + 528 + 98 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×223252898400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1498341526 + ... + 1498341674.

It is an arithmetic number, because the mean of its divisors is an integer number (739666200).

Almost surely, 2^223252898400 is an apocalyptic number.

223252898400 is a gapful number since it is divisible by the number (20) 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 223252898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479303697600).

223252898400 is an abundant number, since it is smaller than the sum of its proper divisors (735354496800).

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

223252898400 is a wasteful number, since it uses less digits than its factorization.

223252898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 223252898400 in words is "two hundred twenty-three billion, two hundred fifty-two million, eight hundred ninety-eight thousand, four hundred".