22321280 has 32 divisors (see below), whose sum is σ = 53363340. Its totient is φ = 8928256.

The previous prime is 22321279. The next prime is 22321297. The reversal of 22321280 is 8212322.

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 118336 = 4712^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×22321280³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16799 + ... + 18078.

Almost surely, 2^22321280 is an apocalyptic number.

22321280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321280 is an abundant number, since it is smaller than the sum of its proper divisors (31042060).

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

22321280 is an equidigital number, since it uses as much as digits as its factorization.

22321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34896 (or 34884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22321280 is about 4724.5401892671. The cubic root of 22321280 is about 281.5613454174.

It can be divided in two parts, 22321 and 280, that multiplied together give a triangular number (6249880 = T₃₅₃₅).

The spelling of 22321280 in words is "twenty-two million, three hundred twenty-one thousand, two hundred eighty".