224231552235600 has 480 divisors, whose sum is σ = 884104690178304. Its totient is φ = 47307320524800.

The previous prime is 224231552235533. The next prime is 224231552235679. The reversal of 224231552235600 is 6532255132422.

It is a super-2 number, since 2×224231552235600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1939443394 + ... + 1939559006.

Almost surely, 2^{224231552235600} is an apocalyptic number.

224231552235600 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 224231552235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442052345089152).

224231552235600 is an abundant number, since it is smaller than the sum of its proper divisors (659873137942704).

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

224231552235600 is a wasteful number, since it uses less digits than its factorization.

224231552235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133415 (or 133404 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 224231552235600 in words is "two hundred twenty-four trillion, two hundred thirty-one billion, five hundred fifty-two million, two hundred thirty-five thousand, six hundred".