22167480 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 5568000.

The previous prime is 22167451. The next prime is 22167487. The reversal of 22167480 is 8476122.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22167487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219430 + ... + 219530.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 2^22167480 is an apocalyptic number.

22167480 is a gapful number since it is divisible by the number (20) 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 22167480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

22167480 is an abundant number, since it is smaller than the sum of its proper divisors (48334920).

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

22167480 is a wasteful number, since it uses less digits than its factorization.

22167480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 22167480 is about 4708.2353382132. The cubic root of 22167480 is about 280.9131750511.

The spelling of 22167480 in words is "twenty-two million, one hundred sixty-seven thousand, four hundred eighty".