226221106419 has 256 divisors, whose sum is σ = 453438259200. Its totient is φ = 107881113600.

The previous prime is 226221106393. The next prime is 226221106511. The reversal of 226221106419 is 914601122622.

It is a happy number.

226221106419 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 2 + 1 + 1 + 0 + 641 + 9 = 666.

It is not a de Polignac number, because 226221106419 - 2⁵ = 226221106387 is a prime.

It is a super-2 number, since 2×226221106419² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226221106219) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 327381864 + ... + 327382554.

It is an arithmetic number, because the mean of its divisors is an integer number (1771243200).

Almost surely, 2^226221106419 is an apocalyptic number.

226221106419 is an abundant number, since it is smaller than the sum of its proper divisors (227217152781).

226221106419 is a wasteful number, since it uses less digits than its factorization.

226221106419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 226221106419 in words is "two hundred twenty-six billion, two hundred twenty-one million, one hundred six thousand, four hundred nineteen".