226225872 has 100 divisors (see below), whose sum is σ = 659200740. Its totient is φ = 74898432.

The previous prime is 226225871. The next prime is 226225873. The reversal of 226225872 is 278522622.

226225872 is a `hidden beast` number, since 22 + 622 + 5 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (226225871) and next prime (226225873).

It can be written as a sum of positive squares in 2 ways, for example, as 144576576 + 81649296 = 12024^2 + 9036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226225871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223704 + ... + 224712.

Almost surely, 2^226225872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226225872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329600370).

226225872 is an abundant number, since it is smaller than the sum of its proper divisors (432974868).

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

226225872 is a wasteful number, since it uses less digits than its factorization.

226225872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1187 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 226225872 is about 15040.8068932488. The cubic root of 226225872 is about 609.3227923083.

The spelling of 226225872 in words is "two hundred twenty-six million, two hundred twenty-five thousand, eight hundred seventy-two".