Search a number
-
+
22324414002 = 23111921019277
BaseRepresentation
bin10100110010101000…
…111000011000110010
32010121211022201211020
4110302220320120302
5331210022222002
614131121400310
71420135250052
oct246250703062
963554281736
1022324414002
119516605730
1243b0499096
13214a11a337
14111acab562
158a9d612bc
hex532a38632

22324414002 has 96 divisors (see below), whose sum is σ = 51920875584. Its totient is φ = 6344784000.

The previous prime is 22324413961. The next prime is 22324414033. The reversal of 22324414002 is 20041442322.

It is a super-3 number, since 3×223244140023 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2401788 + ... + 2411064.

It is an arithmetic number, because the mean of its divisors is an integer number (540842454).

Almost surely, 222324414002 is an apocalyptic number.

22324414002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22324414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25960437792).

22324414002 is an abundant number, since it is smaller than the sum of its proper divisors (29596461582).

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

22324414002 is a wasteful number, since it uses less digits than its factorization.

22324414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22324414002 its reverse (20041442322), we get a palindrome (42365856324).

The spelling of 22324414002 in words is "twenty-two billion, three hundred twenty-four million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 361 418 606 627 722 1083 1111 1254 1919 2166 2222 3333 3838 3971 5757 6666 7942 9277 11514 11913 18554 21109 23826 27831 36461 42218 55662 63327 72922 102047 109383 126654 176263 204094 218766 306141 352526 401071 528789 612282 802142 936977 1057578 1203213 1873954 1938893 2406426 2810931 3348997 3877786 5621862 5816679 6697994 10046991 10306747 11633358 17802563 20093982 20613494 30920241 35605126 36838967 53407689 61840482 73677934 106815378 110516901 195828193 221033802 338248697 391656386 587484579 676497394 1014746091 1174969158 2029492182 3720735667 7441471334 11162207001 22324414002