164226600 has 72 divisors (see below), whose sum is σ = 551533710. Its totient is φ = 43793280.

The previous prime is 164226583. The next prime is 164226611. The reversal of 164226600 is 6622461.

It is a happy number.

164226600 is a `hidden beast` number, since 16 + 42 + 2 + 6 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75377124 + 88849476 = 8682^2 + 9426^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×164226600² = 53940752295120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43819 + ... + 47418.

Almost surely, 2^164226600 is an apocalyptic number.

164226600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164226600 is an abundant number, since it is smaller than the sum of its proper divisors (387307110).

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

164226600 is a wasteful number, since it uses less digits than its factorization.

164226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91259 (or 91247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164226600 is about 12815.0926645109. The cubic root of 164226600 is about 547.6223533392.

The spelling of 164226600 in words is "one hundred sixty-four million, two hundred twenty-six thousand, six hundred".