226338100 has 18 divisors (see below), whose sum is σ = 491153894. Its totient is φ = 90535200.

The previous prime is 226338083. The next prime is 226338103. The reversal of 226338100 is 1833622.

It can be written as a sum of positive squares in 3 ways, for example, as 24641296 + 201696804 = 4964^2 + 14202^2 .

It is a super-2 number, since 2×226338100² = 102457871023220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226338103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1131591 + ... + 1131790.

Almost surely, 2^226338100 is an apocalyptic number.

226338100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226338100 is an abundant number, since it is smaller than the sum of its proper divisors (264815794).

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

226338100 is a wasteful number, since it uses less digits than its factorization.

226338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263395 (or 2263388 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 226338100 is about 15044.5372145507. The cubic root of 226338100 is about 609.4235349464.

The spelling of 226338100 in words is "two hundred twenty-six million, three hundred thirty-eight thousand, one hundred".