Search a number
-
+
22968582 = 23713233159
BaseRepresentation
bin101011110011…
…1100100000110
31121012220222020
41113213210012
521334443312
62140144010
7366141540
oct127474406
947186866
1022968582
1111a686aa
127838006
1349b26a0
14309c690
15203a78c
hex15e7906

22968582 has 128 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 5512320.

The previous prime is 22968577. The next prime is 22968593. The reversal of 22968582 is 28586922.

22968582 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 389269 + ... + 389327.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 222968582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22968582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

22968582 is an abundant number, since it is smaller than the sum of its proper divisors (38962938).

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

22968582 is a wasteful number, since it uses less digits than its factorization.

22968582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 138240, while the sum is 42.

The square root of 22968582 is about 4792.5548510163. The cubic root of 22968582 is about 284.2571482358.

It can be divided in two parts, 2296 and 8582, that added together give a triangular number (10878 = T147).

The spelling of 22968582 in words is "twenty-two million, nine hundred sixty-eight thousand, five hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 31 39 42 46 59 62 69 78 91 93 118 138 161 177 182 186 217 273 299 322 354 403 413 434 483 546 598 651 713 767 806 826 897 966 1209 1239 1302 1357 1426 1534 1794 1829 2093 2139 2301 2418 2478 2714 2821 3658 4071 4186 4278 4602 4991 5369 5487 5642 6279 8142 8463 9269 9499 9982 10738 10974 12558 12803 14973 16107 16926 17641 18538 18998 23777 25606 27807 28497 29946 32214 35282 38409 42067 47554 52923 55614 56994 64883 71331 76818 84134 105846 123487 126201 129766 142662 166439 194649 246974 252402 294469 332878 370461 389298 499317 546871 588938 740922 883407 998634 1093742 1640613 1766814 3281226 3828097 7656194 11484291 22968582