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22428720 = 2432531151
BaseRepresentation
bin101010110001…
…1110000110000
31120012111102100
41111203300300
521220204340
62120420400
7361432566
oct125436060
946174370
1022428720
111172a036
127617700
134853a42
142d9ba36
151e80830
hex1563c30

22428720 has 60 divisors (see below), whose sum is σ = 75325536. Its totient is φ = 5980800.

The previous prime is 22428709. The next prime is 22428727. The reversal of 22428720 is 2782422.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (22428727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14856 + ... + 16295.

Almost surely, 222428720 is an apocalyptic number.

22428720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22428720 is an abundant number, since it is smaller than the sum of its proper divisors (52896816).

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

22428720 is a wasteful number, since it uses less digits than its factorization.

22428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31170 (or 31161 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22428720 is about 4735.8969583385. The cubic root of 22428720 is about 282.0123730802.

The spelling of 22428720 in words is "twenty-two million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31151 62302 93453 124604 155755 186906 249208 280359 311510 373812 467265 498416 560718 623020 747624 934530 1121436 1246040 1401795 1495248 1869060 2242872 2492080 2803590 3738120 4485744 5607180 7476240 11214360 22428720