226436760 has 192 divisors, whose sum is σ = 809602560. Its totient is φ = 54432000.

The previous prime is 226436713. The next prime is 226436761. The reversal of 226436760 is 67634622.

It is a happy number.

226436760 is a `hidden beast` number, since 2 + 2 + 643 + 6 + 7 + 6 + 0 = 666.

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 (226436761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835425 + ... + 835695.

It is an arithmetic number, because the mean of its divisors is an integer number (4216680).

Almost surely, 2^226436760 is an apocalyptic number.

226436760 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 226436760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404801280).

226436760 is an abundant number, since it is smaller than the sum of its proper divisors (583165800).

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

226436760 is a wasteful number, since it uses less digits than its factorization.

226436760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 226436760 is about 15047.8157883462. The cubic root of 226436760 is about 609.5120706251.

It can be divided in two parts, 22643 and 6760, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 226436760 in words is "two hundred twenty-six million, four hundred thirty-six thousand, seven hundred sixty".