222713077340160 has 3072 divisors, whose sum is σ = 935462691072000. Its totient is φ = 50100830208000.

The previous prime is 222713077340153. The next prime is 222713077340227. The reversal of 222713077340160 is 61043770317222.

222713077340160 is a `hidden beast` number, since 2 + 2 + 271 + 30 + 7 + 7 + 340 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×222713077340160² (a number of 29 digits) contains 22 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 255 ways as a sum of consecutive naturals, for example, 370570843860 + ... + 370570844460.

It is an arithmetic number, because the mean of its divisors is an integer number (304512594750).

Almost surely, 2^{222713077340160} is an apocalyptic number.

222713077340160 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 222713077340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467731345536000).

222713077340160 is an abundant number, since it is smaller than the sum of its proper divisors (712749613731840).

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

222713077340160 is a wasteful number, since it uses less digits than its factorization.

222713077340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 222713077340160 in words is "two hundred twenty-two trillion, seven hundred thirteen billion, seventy-seven million, three hundred forty thousand, one hundred sixty".