24228100 has 36 divisors (see below), whose sum is σ = 56622244. Its totient is φ = 8945280.

The previous prime is 24228091. The next prime is 24228103. The reversal of 24228100 is 182242.

It can be written as a sum of positive squares in 6 ways, for example, as 10150596 + 14077504 = 3186^2 + 3752^2 .

It is a super-2 number, since 2×24228100² = 1174001659220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24228103) 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, 8019 + ... + 10618.

Almost surely, 2^24228100 is an apocalyptic number.

24228100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24228100 is an abundant number, since it is smaller than the sum of its proper divisors (32394144).

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

24228100 is a wasteful number, since it uses less digits than its factorization.

24228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18664 (or 18657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 24228100 is about 4922.2047905385. The cubic root of 24228100 is about 289.3608595547.

The spelling of 24228100 in words is "twenty-four million, two hundred twenty-eight thousand, one hundred".