226150464715200 has 168 divisors, whose sum is σ = 824402203475760. Its totient is φ = 60306790579200.

The previous prime is 226150464715183. The next prime is 226150464715267. The reversal of 226150464715200 is 2517464051622.

226150464715200 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 50 + 4 + 6 + 4 + 71 + 520 + 0 = 666.

226150464715200 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 2×226150464715200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617439031 + ... + 2617525430.

It is an arithmetic number, because the mean of its divisors is an integer number (4907155973070).

Almost surely, 2^{226150464715200} is an apocalyptic number.

226150464715200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226150464715200 is an abundant number, since it is smaller than the sum of its proper divisors (598251738760560).

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

226150464715200 is a wasteful number, since it uses less digits than its factorization.

226150464715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234964492 (or 5234964471 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 226150464715200 in words is "two hundred twenty-six trillion, one hundred fifty billion, four hundred sixty-four million, seven hundred fifteen thousand, two hundred".