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22117104 = 243351197
BaseRepresentation
bin101010001011…
…1101011110000
31112121122222000
41110113223300
521130221404
62110014000
7355664232
oct124275360
945548860
1022117104
11115369a9
1274a7300
134774c59
142d1a252
151e1d339
hex1517af0

22117104 has 40 divisors (see below), whose sum is σ = 63485520. Its totient is φ = 7372224.

The previous prime is 22117103. The next prime is 22117171. The reversal of 22117104 is 40171122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22117103) 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 7 ways as a sum of consecutive naturals, for example, 25167 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (1587138).

Almost surely, 222117104 is an apocalyptic number.

22117104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22117104 is an abundant number, since it is smaller than the sum of its proper divisors (41368416).

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

22117104 is a wasteful number, since it uses less digits than its factorization.

22117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51214 (or 51202 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 22117104 is about 4702.8825203273. The cubic root of 22117104 is about 280.7002202281.

Adding to 22117104 its reverse (40171122), we get a palindrome (62288226).

The spelling of 22117104 in words is "twenty-two million, one hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 51197 102394 153591 204788 307182 409576 460773 614364 819152 921546 1228728 1382319 1843092 2457456 2764638 3686184 5529276 7372368 11058552 22117104