22149000 has 192 divisors, whose sum is σ = 78848640. Its totient is φ = 5596800.

The previous prime is 22148981. The next prime is 22149019. The reversal of 22149000 is 94122.

It is an interprime number because it is at equal distance from previous prime (22148981) and next prime (22149019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206947 + ... + 207053.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 2^22149000 is an apocalyptic number.

22149000 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 22149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39424320).

22149000 is an abundant number, since it is smaller than the sum of its proper divisors (56699640).

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

22149000 is a wasteful number, since it uses less digits than its factorization.

22149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22149000 is about 4706.2724103052. The cubic root of 22149000 is about 280.8350919204.

The spelling of 22149000 in words is "twenty-two million, one hundred forty-nine thousand".