Search a number
-
+
22533940 = 22511137879
BaseRepresentation
bin101010111110…
…1011100110100
31120101211202101
41111331130310
521232041230
62122551444
7362351422
oct125753464
946354671
1022533940
11117a10a0
127668584
13488c8c0
142dc8112
151ea1aca
hex157d734

22533940 has 48 divisors (see below), whose sum is σ = 55601280. Its totient is φ = 7562880.

The previous prime is 22533937. The next prime is 22533941. The reversal of 22533940 is 4933522.

It is a junction number, because it is equal to n+sod(n) for n = 22533899 and 22533908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22533941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080 + ... + 6799.

It is an arithmetic number, because the mean of its divisors is an integer number (1158360).

Almost surely, 222533940 is an apocalyptic number.

22533940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22533940 is an abundant number, since it is smaller than the sum of its proper divisors (33067340).

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

22533940 is a wasteful number, since it uses less digits than its factorization.

22533940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 22533940 is about 4746.9927322464. The cubic root of 22533940 is about 282.4526874064.

The spelling of 22533940 in words is "twenty-two million, five hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 7879 15758 31516 39395 78790 86669 102427 157580 173338 204854 346676 409708 433345 512135 866690 1024270 1126697 1733380 2048540 2253394 4506788 5633485 11266970 22533940