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22705840 = 245299787
BaseRepresentation
bin101011010011…
…1011010110000
31120201120120001
41112213122300
521303041330
62130355344
7363665533
oct126473260
946646501
1022705840
11118a9263
12772bb54
13491cc11
143030a1a
151ed79ca
hex15a76b0

22705840 has 40 divisors (see below), whose sum is σ = 54617040. Its totient is φ = 8768256.

The previous prime is 22705819. The next prime is 22705843. The reversal of 22705840 is 4850722.

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

It is a junction number, because it is equal to n+sod(n) for n = 22705799 and 22705808.

It is not an unprimeable number, because it can be changed into a prime (22705843) 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, 2574 + ... + 7213.

It is an arithmetic number, because the mean of its divisors is an integer number (1365426).

Almost surely, 222705840 is an apocalyptic number.

22705840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22705840 is an abundant number, since it is smaller than the sum of its proper divisors (31911200).

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

22705840 is a wasteful number, since it uses less digits than its factorization.

22705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 22705840 is about 4765.0645326165. The cubic root of 22705840 is about 283.1690982061.

The spelling of 22705840 in words is "twenty-two million, seven hundred five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9787 19574 39148 48935 78296 97870 156592 195740 283823 391480 567646 782960 1135292 1419115 2270584 2838230 4541168 5676460 11352920 22705840