13922227200 has 1056 divisors, whose sum is σ = 58481971200. Its totient is φ = 2848849920.

The previous prime is 13922227177. The next prime is 13922227237. The reversal of 13922227200 is 272222931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296217577 + ... + 296217623.

Almost surely, 2^13922227200 is an apocalyptic number.

13922227200 is a gapful number since it is divisible by the number (10) 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 13922227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29240985600).

13922227200 is an abundant number, since it is smaller than the sum of its proper divisors (44559744000).

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

13922227200 is a wasteful number, since it uses less digits than its factorization.

13922227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

It can be divided in two parts, 1392 and 2227200, that multiplied together give a square (3100262400 = 55680²).

The spelling of 13922227200 in words is "thirteen billion, nine hundred twenty-two million, two hundred twenty-seven thousand, two hundred".