226136400 has 120 divisors (see below), whose sum is σ = 827905344. Its totient is φ = 51686400.

The previous prime is 226136387. The next prime is 226136401. The reversal of 226136400 is 4631622.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×226136400² = 102275342809920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226136401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 21860.

Almost surely, 2^226136400 is an apocalyptic number.

226136400 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 226136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413952672).

226136400 is an abundant number, since it is smaller than the sum of its proper divisors (601768944).

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

226136400 is a wasteful number, since it uses less digits than its factorization.

226136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26949 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226136400 is about 15037.8322905929. The cubic root of 226136400 is about 609.2424529597.

The spelling of 226136400 in words is "two hundred twenty-six million, one hundred thirty-six thousand, four hundred".