Search a number
-
+
22650660 = 223251937179
BaseRepresentation
bin101011001100…
…1111100100100
31120121202212100
41112121330210
521244310120
62125252100
7363345624
oct126317444
946552770
1022650660
111187085a
127704030
134900a76
143018884
151ec6490
hex1599f24

22650660 has 144 divisors (see below), whose sum is σ = 74692800. Its totient is φ = 5536512.

The previous prime is 22650599. The next prime is 22650671. The reversal of 22650660 is 6605622.

22650660 is a `hidden beast` number, since 2 + 2 + 650 + 6 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 126451 + ... + 126629.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 222650660 is an apocalyptic number.

22650660 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 22650660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37346400).

22650660 is an abundant number, since it is smaller than the sum of its proper divisors (52042140).

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

22650660 is a wasteful number, since it uses less digits than its factorization.

22650660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 22650660 is about 4759.2709525725. The cubic root of 22650660 is about 282.9395251751.

The spelling of 22650660 in words is "twenty-two million, six hundred fifty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 179 180 185 190 222 228 285 333 342 358 370 380 444 537 555 570 666 684 703 716 740 855 895 1074 1110 1140 1332 1406 1611 1665 1710 1790 2109 2148 2220 2685 2812 3222 3330 3401 3420 3515 3580 4218 5370 6327 6444 6623 6660 6802 7030 8055 8436 10203 10545 10740 12654 13246 13604 14060 16110 17005 19869 20406 21090 25308 26492 30609 31635 32220 33115 34010 39738 40812 42180 51015 59607 61218 63270 66230 68020 79476 99345 102030 119214 122436 125837 126540 132460 153045 198690 204060 238428 251674 298035 306090 377511 397380 503348 596070 612180 629185 755022 1132533 1192140 1258370 1510044 1887555 2265066 2516740 3775110 4530132 5662665 7550220 11325330 22650660