226157760 has 168 divisors, whose sum is σ = 819028080. Its totient is φ = 57120768.

The previous prime is 226157759. The next prime is 226157761. The reversal of 226157760 is 67751622.

226157760 is a `hidden beast` number, since 2 + 26 + 1 + 577 + 60 = 666.

226157760 is digitally balanced in base 2, because in such base 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 (226157759) and next prime (226157761).

It is a super-2 number, since 2×226157760² = 102294664816435200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (226157761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52654 + ... + 56786.

Almost surely, 2^226157760 is an apocalyptic number.

226157760 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 226157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409514040).

226157760 is an abundant number, since it is smaller than the sum of its proper divisors (592870320).

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

226157760 is a wasteful number, since it uses less digits than its factorization.

226157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 226157760 is about 15038.5424825679. The cubic root of 226157760 is about 609.2616346115.

The spelling of 226157760 in words is "two hundred twenty-six million, one hundred fifty-seven thousand, seven hundred sixty".