222689610000 has 1125 divisors, whose sum is σ = 927615290745. Its totient is φ = 49832640000.

The previous prime is 222689609993. The next prime is 222689610043. The reversal of 222689610000 is 16986222.

It is a happy number.

The square root of 222689610000 is 471900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 219957248016 + 2732361984 = 468996^2 + 52272^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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 224 ways as a sum of consecutive naturals, for example, 17129969994 + ... + 17129970006.

Almost surely, 2^222689610000 is an apocalyptic number.

222689610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222689610000 is the 471900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222689610000

222689610000 is an abundant number, since it is smaller than the sum of its proper divisors (704925680745).

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

222689610000 is an equidigital number, since it uses as much as digits as its factorization.

222689610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 222689610000 by its sum of digits (36), we get a square (8016825960000 = 2831400²).

222689610000 divided by its sum of digits (36) gives a square (6185822500 = 78650²).

The spelling of 222689610000 in words is "two hundred twenty-two billion, six hundred eighty-nine million, six hundred ten thousand".