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22228880 = 2451391999
BaseRepresentation
bin101010011001…
…0111110010000
31112211100021212
41110302332100
521142311010
62112235252
7356641142
oct124627620
945740255
1022228880
1111602983
12753bb28
1347b3aab
142d48c92
151e41505
hex1532f90

22228880 has 40 divisors (see below), whose sum is σ = 52080000. Its totient is φ = 8823168.

The previous prime is 22228873. The next prime is 22228883. The reversal of 22228880 is 8882222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22228883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10121 + ... + 12119.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 222228880 is an apocalyptic number.

22228880 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 22228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040000).

22228880 is an abundant number, since it is smaller than the sum of its proper divisors (29851120).

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

22228880 is a wasteful number, since it uses less digits than its factorization.

22228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 22228880 is about 4714.7513189987. The cubic root of 22228880 is about 281.1722959000.

The spelling of 22228880 in words is "twenty-two million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 1999 2224 2780 3998 5560 7996 9995 11120 15992 19990 31984 39980 79960 159920 277861 555722 1111444 1389305 2222888 2778610 4445776 5557220 11114440 22228880