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22895040 = 263573407
BaseRepresentation
bin101011101010…
…1100111000000
31121002012002110
41113111213000
521330120130
62134415320
7365414250
oct127254700
947065073
1022895040
1111a18423
127801540
13498807c
14307d960
152023ab0
hex15d59c0

22895040 has 112 divisors (see below), whose sum is σ = 83100672. Its totient is φ = 5231616.

The previous prime is 22895027. The next prime is 22895083. The reversal of 22895040 is 4059822.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22894989 and 22895007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5017 + ... + 8423.

Almost surely, 222895040 is an apocalyptic number.

22895040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550336).

22895040 is an abundant number, since it is smaller than the sum of its proper divisors (60205632).

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

22895040 is a wasteful number, since it uses less digits than its factorization.

22895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 22895040 is about 4784.8761739464. The cubic root of 22895040 is about 283.9534407573.

The spelling of 22895040 in words is "twenty-two million, eight hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 3407 6720 6814 10221 13628 17035 20442 23849 27256 34070 40884 47698 51105 54512 68140 71547 81768 95396 102210 109024 119245 136280 143094 163536 190792 204420 218048 238490 272560 286188 327072 357735 381584 408840 476980 545120 572376 654144 715470 763168 817680 953960 1090240 1144752 1430940 1526336 1635360 1907920 2289504 2861880 3270720 3815840 4579008 5723760 7631680 11447520 22895040