22778496 has 160 divisors (see below), whose sum is σ = 73434900. Its totient is φ = 7008768.

The previous prime is 22778489. The next prime is 22778507. The reversal of 22778496 is 69487722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 15681600 = 2664^2 + 3960^2 .

Its product of digits (338688) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1752186 + ... + 1752198.

Almost surely, 2^22778496 is an apocalyptic number.

22778496 is a gapful number since it is divisible by the number (26) 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 22778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36717450).

22778496 is an abundant number, since it is smaller than the sum of its proper divisors (50656404).

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

22778496 is an frugal number, since it uses more digits than its factorization.

22778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 18 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 22778496 is about 4772.6822647228. The cubic root of 22778496 is about 283.4708124818.

The spelling of 22778496 in words is "twenty-two million, seven hundred seventy-eight thousand, four hundred ninety-six".