226946412 has 288 divisors, whose sum is σ = 782745600. Its totient is φ = 53654400.

The previous prime is 226946411. The next prime is 226946429. The reversal of 226946412 is 214649622.

226946412 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 4 + 641 + 2 = 666.

It is a super-4 number, since 4×226946412⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (226946411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632639 + ... + 1632777.

Almost surely, 2^226946412 is an apocalyptic number.

226946412 is a gapful number since it is divisible by the number (22) 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 226946412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391372800).

226946412 is an abundant number, since it is smaller than the sum of its proper divisors (555799188).

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

226946412 is a wasteful number, since it uses less digits than its factorization.

226946412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 212 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 226946412 is about 15064.7406881101. The cubic root of 226946412 is about 609.9690139237.

The spelling of 226946412 in words is "two hundred twenty-six million, nine hundred forty-six thousand, four hundred twelve".