22850100 has 360 divisors, whose sum is σ = 94105088. Its totient is φ = 4665600.

The previous prime is 22850089. The next prime is 22850111. The reversal of 22850100 is 105822.

It is an interprime number because it is at equal distance from previous prime (22850089) and next prime (22850111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 737085 + ... + 737115.

Almost surely, 2^22850100 is an apocalyptic number.

22850100 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 22850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47052544).

22850100 is an abundant number, since it is smaller than the sum of its proper divisors (71254988).

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

22850100 is a wasteful number, since it uses less digits than its factorization.

22850100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 22850100 is about 4780.1778209602. The cubic root of 22850100 is about 283.7675311155.

Adding to 22850100 its reverse (105822), we get a palindrome (22955922).

The spelling of 22850100 in words is "twenty-two million, eight hundred fifty thousand, one hundred".