221466792 has 32 divisors (see below), whose sum is σ = 556577280. Its totient is φ = 73434240.

The previous prime is 221466787. The next prime is 221466829. The reversal of 221466792 is 297664122.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 221466792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19573 + ... + 28740.

It is an arithmetic number, because the mean of its divisors is an integer number (17393040).

Almost surely, 2^221466792 is an apocalyptic number.

It is an amenable number.

221466792 is an abundant number, since it is smaller than the sum of its proper divisors (335110488).

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

221466792 is a wasteful number, since it uses less digits than its factorization.

221466792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48513 (or 48509 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 221466792 is about 14881.7603797400. The cubic root of 221466792 is about 605.0197311599.

It can be divided in two parts, 2214 and 66792, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 221466792 in words is "two hundred twenty-one million, four hundred sixty-six thousand, seven hundred ninety-two".