23284100 has 144 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 7257600.

The previous prime is 23284087. The next prime is 23284103. The reversal of 23284100 is 148232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629282 + ... + 629318.

Almost surely, 2^23284100 is an apocalyptic number.

23284100 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 23284100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

23284100 is an abundant number, since it is smaller than the sum of its proper divisors (40045180).

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

23284100 is a wasteful number, since it uses less digits than its factorization.

23284100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 23284100 is about 4825.3600901902. The cubic root of 23284100 is about 285.5528409346.

The spelling of 23284100 in words is "twenty-three million, two hundred eighty-four thousand, one hundred".