226088838144 has 495 divisors, whose sum is σ = 736876503297. Its totient is φ = 69018034176.

The previous prime is 226088838121. The next prime is 226088838163. The reversal of 226088838144 is 441838880622.

The square root of 226088838144 is 475488.

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

226088838144 is a `hidden beast` number, since 22 + 608 + 8 + 8 + 3 + 8 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33445094400 + 192643743744 = 182880^2 + 438912^2 .

It is a super-2 number, since 2×226088838144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1780227009 + ... + 1780227135.

Almost surely, 2^226088838144 is an apocalyptic number.

226088838144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

226088838144 is the 475488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226088838144

226088838144 is an abundant number, since it is smaller than the sum of its proper divisors (510787665153).

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

226088838144 is an equidigital number, since it uses as much as digits as its factorization.

226088838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 226088838144 in words is "two hundred twenty-six billion, eighty-eight million, eight hundred thirty-eight thousand, one hundred forty-four".