226161600 has 336 divisors, whose sum is σ = 870801408. Its totient is φ = 50319360.

The previous prime is 226161589. The next prime is 226161601. The reversal of 226161600 is 6161622.

226161600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×226161600² = 102298138629120000, 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 (226161601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780737 + ... + 1780863.

Almost surely, 2^226161600 is an apocalyptic number.

226161600 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 226161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435400704).

226161600 is an abundant number, since it is smaller than the sum of its proper divisors (644639808).

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

226161600 is a wasteful number, since it uses less digits than its factorization.

226161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 226161600 is about 15038.6701539731. The cubic root of 226161600 is about 609.2650828703.

The spelling of 226161600 in words is "two hundred twenty-six million, one hundred sixty-one thousand, six hundred".