222025673100 has 288 divisors, whose sum is σ = 804948480000. Its totient is φ = 45902419200.

The previous prime is 222025673081. The next prime is 222025673143. The reversal of 222025673100 is 1376520222.

222025673100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222025673100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4572751 + ... + 4621049.

It is an arithmetic number, because the mean of its divisors is an integer number (2794960000).

Almost surely, 2^222025673100 is an apocalyptic number.

222025673100 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 222025673100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402474240000).

222025673100 is an abundant number, since it is smaller than the sum of its proper divisors (582922806900).

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

222025673100 is a wasteful number, since it uses less digits than its factorization.

222025673100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48533 (or 48526 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 222025673100 in words is "two hundred twenty-two billion, twenty-five million, six hundred seventy-three thousand, one hundred".