Search a number
-
+
22968260 = 22572231019
BaseRepresentation
bin101011110011…
…1011111000100
31121012220112022
41113213133010
521334441020
62140142312
7366140600
oct127473704
947186468
1022968260
1111a68437
127837998
1349b24b3
14309c500
15203a625
hex15e77c4

22968260 has 72 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 7525056.

The previous prime is 22968259. The next prime is 22968263. The reversal of 22968260 is 6286922.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22968260.

It is not an unprimeable number, because it can be changed into a prime (22968263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22031 + ... + 23049.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 222968260 is an apocalyptic number.

22968260 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 22968260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

22968260 is an abundant number, since it is smaller than the sum of its proper divisors (35636860).

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

22968260 is a wasteful number, since it uses less digits than its factorization.

22968260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 22968260 is about 4792.5212571255. The cubic root of 22968260 is about 284.2558198817.

The spelling of 22968260 in words is "twenty-two million, nine hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1019 1127 1610 2038 2254 3220 4076 4508 5095 5635 7133 10190 11270 14266 20380 22540 23437 28532 35665 46874 49931 71330 93748 99862 117185 142660 164059 199724 234370 249655 328118 468740 499310 656236 820295 998620 1148413 1640590 2296826 3281180 4593652 5742065 11484130 22968260