Search a number
-
+
22868406 = 2341141313
BaseRepresentation
bin101011100111…
…1000110110110
31121000211120000
41113033012312
521323242111
62134052130
7365243511
oct127170666
947024500
1022868406
11119aa410
1277aa046
134978c02
143073d78
15201ac56
hex15cf1b6

22868406 has 80 divisors (see below), whose sum is σ = 57446928. Its totient is φ = 6739200.

The previous prime is 22868401. The next prime is 22868407. The reversal of 22868406 is 60486822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72906 + ... + 73218.

Almost surely, 222868406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28723464).

22868406 is an abundant number, since it is smaller than the sum of its proper divisors (34578522).

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

22868406 is a wasteful number, since it uses less digits than its factorization.

22868406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 22868406 is about 4782.0922199389. The cubic root of 22868406 is about 283.8432895271.

The spelling of 22868406 in words is "twenty-two million, eight hundred sixty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 313 369 451 594 626 738 891 902 939 1107 1353 1782 1878 2214 2706 2817 3321 3443 4059 5634 6642 6886 8118 8451 10329 12177 12833 16902 20658 24354 25353 25666 30987 36531 38499 50706 61974 73062 76998 92961 115497 141163 185922 230994 278883 282326 346491 423489 557766 692982 846978 1039473 1270467 2078946 2540934 3811401 7622802 11434203 22868406