22770100 has 36 divisors (see below), whose sum is σ = 49888300. Its totient is φ = 9020160.

The previous prime is 22770073. The next prime is 22770101. The reversal of 22770100 is 107722.

It can be written as a sum of positive squares in 6 ways, for example, as 698896 + 22071204 = 836^2 + 4698^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22770101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9856 + ... + 11944.

Almost surely, 2^22770100 is an apocalyptic number.

22770100 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 22770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24944150).

22770100 is an abundant number, since it is smaller than the sum of its proper divisors (27118200).

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

22770100 is a wasteful number, since it uses less digits than its factorization.

22770100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 22770100 is about 4771.8025944081. The cubic root of 22770100 is about 283.4359797252.

Adding to 22770100 its reverse (107722), we get a palindrome (22877822).

The spelling of 22770100 in words is "twenty-two million, seven hundred seventy thousand, one hundred".