226180141056 has 117 divisors (see below), whose sum is σ = 653593399381. Its totient is φ = 75362942976.

The previous prime is 226180141049. The next prime is 226180141063. The reversal of 226180141056 is 650141081622.

It is a happy number.

The square root of 226180141056 is 475584.

It is a perfect power (a square), and thus also a powerful number.

226180141056 is a `hidden beast` number, since 22 + 618 + 0 + 1 + 4 + 10 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (226180141049) and next prime (226180141063).

It can be written as a sum of positive squares in only one way, i.e., 113542041600 + 112638099456 = 336960^2 + 335616^2 .

It is a super-2 number, since 2×226180141056² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 226180141056.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91310890 + ... + 91313366.

Almost surely, 2^226180141056 is an apocalyptic number.

226180141056 is the 475584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226180141056

226180141056 is an abundant number, since it is smaller than the sum of its proper divisors (427413258325).

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

226180141056 is an frugal number, since it uses more digits than its factorization.

226180141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 226180141056 by its sum of digits (36), we get a square (8142485078016 = 2853504²).

226180141056 divided by its sum of digits (36) gives a square (6282781696 = 79264²).

It can be divided in two parts, 226180 and 141056, that added together give a square (367236 = 606²).

The spelling of 226180141056 in words is "two hundred twenty-six billion, one hundred eighty million, one hundred forty-one thousand, fifty-six".