Search a number
-
+
22693660 = 22511293557
BaseRepresentation
bin101011010010…
…0011100011100
31120200221211221
41112210130130
521302144120
62130223124
7363615163
oct126443434
946627757
1022693660
11118a00a0
127724aa4
134917502
14302a3da
151ed40aa
hex15a471c

22693660 has 48 divisors (see below), whose sum is σ = 53796960. Its totient is φ = 7965440.

The previous prime is 22693651. The next prime is 22693667. The reversal of 22693660 is 6639622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22693667) 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, 4602 + ... + 8158.

It is an arithmetic number, because the mean of its divisors is an integer number (1120770).

Almost surely, 222693660 is an apocalyptic number.

22693660 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 22693660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26898480).

22693660 is an abundant number, since it is smaller than the sum of its proper divisors (31103300).

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

22693660 is a wasteful number, since it uses less digits than its factorization.

22693660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 22693660 is about 4763.7863092292. The cubic root of 22693660 is about 283.1184560731.

It can be divided in two parts, 2269 and 3660, that added together give a square (5929 = 772).

The spelling of 22693660 in words is "twenty-two million, six hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 3557 6380 7114 14228 17785 35570 39127 71140 78254 103153 156508 195635 206306 391270 412612 515765 782540 1031530 1134683 2063060 2269366 4538732 5673415 11346830 22693660