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22226880 = 2635132137
BaseRepresentation
bin101010011001…
…0011111000000
31112211020112210
41110302133000
521142230010
62112222120
7356632254
oct124623700
945736483
1022226880
1111601425
12753a940
1347b2c00
142d48264
151e40b20
hex15327c0

22226880 has 168 divisors, whose sum is σ = 76974192. Its totient is φ = 5431296.

The previous prime is 22226873. The next prime is 22226909. The reversal of 22226880 is 8862222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162172 + ... + 162308.

Almost surely, 222226880 is an apocalyptic number.

22226880 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 22226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38487096).

22226880 is an abundant number, since it is smaller than the sum of its proper divisors (54747312).

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

22226880 is a wasteful number, since it uses less digits than its factorization.

22226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22226880 is about 4714.5392139635. The cubic root of 22226880 is about 281.1638630047.

The spelling of 22226880 in words is "twenty-two million, two hundred twenty-six thousand, eight hundred eighty".