224060100 has 144 divisors (see below), whose sum is σ = 724120320. Its totient is φ = 53020800.

The previous prime is 224060093. The next prime is 224060107. The reversal of 224060100 is 1060422.

224060100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224060093) and next prime (224060107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224060100.

It is not an unprimeable number, because it can be changed into a prime (224060107) 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, 141111 + ... + 142689.

Almost surely, 2^224060100 is an apocalyptic number.

224060100 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 224060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362060160).

224060100 is an abundant number, since it is smaller than the sum of its proper divisors (500060220).

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

224060100 is a wasteful number, since it uses less digits than its factorization.

224060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 224060100 is about 14968.6372125187. The cubic root of 224060100 is about 607.3721046959.

The spelling of 224060100 in words is "two hundred twenty-four million, sixty thousand, one hundred".