226257076260 has 144 divisors (see below), whose sum is σ = 734850370800. Its totient is φ = 56147976192.

The previous prime is 226257076259. The next prime is 226257076273. The reversal of 226257076260 is 62670752622.

226257076260 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 570 + 76 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2949793344 + 223307282916 = 54312^2 + 472554^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143055 + ... + 687734.

It is an arithmetic number, because the mean of its divisors is an integer number (5103127575).

Almost surely, 2^226257076260 is an apocalyptic number.

226257076260 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 226257076260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367425185400).

226257076260 is an abundant number, since it is smaller than the sum of its proper divisors (508593294540).

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

226257076260 is a wasteful number, since it uses less digits than its factorization.

226257076260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830910 (or 830905 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 226257076260 in words is "two hundred twenty-six billion, two hundred fifty-seven million, seventy-six thousand, two hundred sixty".