223185150720 has 864 divisors, whose sum is σ = 961183641600. Its totient is φ = 46653014016.

The previous prime is 223185150703. The next prime is 223185150731. The reversal of 223185150720 is 27051581322.

223185150720 is a `hidden beast` number, since 22 + 31 + 85 + 1 + 507 + 20 = 666.

It is a super-3 number, since 3×223185150720³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 44430129 + ... + 44435151.

Almost surely, 2^223185150720 is an apocalyptic number.

223185150720 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 223185150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480591820800).

223185150720 is an abundant number, since it is smaller than the sum of its proper divisors (737998490880).

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

223185150720 is a wasteful number, since it uses less digits than its factorization.

223185150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 223185150720 in words is "two hundred twenty-three billion, one hundred eighty-five million, one hundred fifty thousand, seven hundred twenty".