Search a number
-
+
22866240 = 263523819
BaseRepresentation
bin101011100111…
…0100101000000
31121000201120210
41113032211000
521323204430
62134034120
7365234265
oct127164500
947021523
1022866240
11119a8821
1277a8940
134977c27
14307326c
15201a2b0
hex15ce940

22866240 has 56 divisors (see below), whose sum is σ = 72603360. Its totient is φ = 6097408.

The previous prime is 22866227. The next prime is 22866257. The reversal of 22866240 is 4266822.

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 = 22866198 and 22866207.

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, 10950 + ... + 12869.

Almost surely, 222866240 is an apocalyptic number.

22866240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22866240 is an abundant number, since it is smaller than the sum of its proper divisors (49737120).

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

22866240 is a wasteful number, since it uses less digits than its factorization.

22866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23839 (or 23829 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 22866240 is about 4781.8657446649. The cubic root of 22866240 is about 283.8343277601.

The spelling of 22866240 in words is "twenty-two million, eight hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 23819 47638 71457 95276 119095 142914 190552 238190 285828 357285 381104 476380 571656 714570 762208 952760 1143312 1429140 1524416 1905520 2286624 2858280 3811040 4573248 5716560 7622080 11433120 22866240