226652240880 has 960 divisors, whose sum is σ = 882232283520. Its totient is φ = 53413281792.

The previous prime is 226652240873. The next prime is 226652240887. The reversal of 226652240880 is 88042256622.

226652240880 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 522 + 40 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (226652240873) and next prime (226652240887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226652240887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310128474 + ... + 1310128646.

It is an arithmetic number, because the mean of its divisors is an integer number (918991962).

Almost surely, 2^226652240880 is an apocalyptic number.

226652240880 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 226652240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441116141760).

226652240880 is an abundant number, since it is smaller than the sum of its proper divisors (655580042640).

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

226652240880 is a wasteful number, since it uses less digits than its factorization.

226652240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 226652240880 in words is "two hundred twenty-six billion, six hundred fifty-two million, two hundred forty thousand, eight hundred eighty".