223367270400 has 936 divisors, whose sum is σ = 866307354120. Its totient is φ = 54798581760.

The previous prime is 223367270393. The next prime is 223367270431. The reversal of 223367270400 is 4072763322.

223367270400 is a `hidden beast` number, since 2 + 23 + 367 + 270 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 58154287104 + 165212983296 = 241152^2 + 406464^2 .

It is a super-3 number, since 3×223367270400³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830361466 + ... + 830361734.

It is an arithmetic number, because the mean of its divisors is an integer number (925542045).

Almost surely, 2^223367270400 is an apocalyptic number.

223367270400 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 223367270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433153677060).

223367270400 is an abundant number, since it is smaller than the sum of its proper divisors (642940083720).

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

223367270400 is a wasteful number, since it uses less digits than its factorization.

223367270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 223367270400 in words is "two hundred twenty-three billion, three hundred sixty-seven million, two hundred seventy thousand, four hundred".