226009560 has 384 divisors, whose sum is σ = 884160000. Its totient is φ = 46061568.

The previous prime is 226009519. The next prime is 226009571. The reversal of 226009560 is 65900622.

226009560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226009560² = 102160642422787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11895231 + ... + 11895249.

It is an arithmetic number, because the mean of its divisors is an integer number (2302500).

Almost surely, 2^226009560 is an apocalyptic number.

226009560 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 226009560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442080000).

226009560 is an abundant number, since it is smaller than the sum of its proper divisors (658150440).

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

226009560 is a wasteful number, since it uses less digits than its factorization.

226009560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 226009560 is about 15033.6143358808. The cubic root of 226009560 is about 609.1285235416.

The spelling of 226009560 in words is "two hundred twenty-six million, nine thousand, five hundred sixty".