226200600 has 120 divisors (see below), whose sum is σ = 785684460. Its totient is φ = 60315840.

The previous prime is 226200571. The next prime is 226200619. The reversal of 226200600 is 6002622.

226200600 is a `hidden beast` number, since 2 + 2 + 62 + 0 + 0 + 600 = 666.

226200600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×226200600² = 102333422880720000, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 9219 + ... + 23181.

Almost surely, 2^226200600 is an apocalyptic number.

226200600 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 226200600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392842230).

226200600 is an abundant number, since it is smaller than the sum of its proper divisors (559483860).

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

226200600 is a wasteful number, since it uses less digits than its factorization.

226200600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226200600 is about 15039.9667552824. The cubic root of 226200600 is about 609.3001020373.

The spelling of 226200600 in words is "two hundred twenty-six million, two hundred thousand, six hundred".