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22288890 = 2351367853
BaseRepresentation
bin101010100000…
…1100111111010
31112221101121110
41111001213322
521201221030
62113421150
7360311121
oct125014772
945841543
1022288890
1111643a78
12756a7b6
1348051c0
142d62ab8
151e541b0
hex15419fa

22288890 has 64 divisors (see below), whose sum is σ = 58536576. Its totient is φ = 5398272.

The previous prime is 22288879. The next prime is 22288897. The reversal of 22288890 is 9888222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (22288897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25704 + ... + 26556.

It is an arithmetic number, because the mean of its divisors is an integer number (914634).

Almost surely, 222288890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22288890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29268288).

22288890 is an abundant number, since it is smaller than the sum of its proper divisors (36247686).

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

22288890 is a wasteful number, since it uses less digits than its factorization.

22288890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 22288890 is about 4721.1110980361. Note that the first 3 decimals coincide. The cubic root of 22288890 is about 281.4250899888.

The spelling of 22288890 in words is "twenty-two million, two hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 853 871 1005 1706 1742 2010 2559 2613 4265 4355 5118 5226 8530 8710 11089 12795 13065 22178 25590 26130 33267 55445 57151 66534 110890 114302 166335 171453 285755 332670 342906 571510 742963 857265 1485926 1714530 2228889 3714815 4457778 7429630 11144445 22288890