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22229680 = 2451125261
BaseRepresentation
bin101010011001…
…1001010110000
31112211101101111
41110303022300
521142322210
62112243104
7356643364
oct124631260
945741344
1022229680
1111603540
127540494
1347b4275
142d492a4
151e4188a
hex15332b0

22229680 has 40 divisors (see below), whose sum is σ = 56384784. Its totient is φ = 8083200.

The previous prime is 22229671. The next prime is 22229719. The reversal of 22229680 is 8692222.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 11751 + ... + 13510.

Almost surely, 222229680 is an apocalyptic number.

22229680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22229680 is an abundant number, since it is smaller than the sum of its proper divisors (34155104).

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

22229680 is a wasteful number, since it uses less digits than its factorization.

22229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25285 (or 25279 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 22229680 is about 4714.8361583410. The cubic root of 22229680 is about 281.1756689166.

The spelling of 22229680 in words is "twenty-two million, two hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 25261 50522 101044 126305 202088 252610 277871 404176 505220 555742 1010440 1111484 1389355 2020880 2222968 2778710 4445936 5557420 11114840 22229680