Search a number
-
+
22234134020 = 22571919014397
BaseRepresentation
bin10100101101010000…
…011111011000000100
32010101112110000222012
4110231100133120010
5331013414242040
614114134353352
71414661010110
oct245520373004
963345400865
1022234134020
11947a652a7a
1243861bb858
1321344cab27
14110ccca740
158a1e7b865
hex52d41f604

22234134020 has 96 divisors (see below), whose sum is σ = 56212773120. Its totient is φ = 7216473600.

The previous prime is 22234134019. The next prime is 22234134047. The reversal of 22234134020 is 2043143222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5054462 + ... + 5058858.

It is an arithmetic number, because the mean of its divisors is an integer number (585549720).

Almost surely, 222234134020 is an apocalyptic number.

22234134020 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 22234134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106386560).

22234134020 is an abundant number, since it is smaller than the sum of its proper divisors (33978639100).

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

22234134020 is a wasteful number, since it uses less digits than its factorization.

22234134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 22234134020 its reverse (2043143222), we get a palindrome (24277277242).

The spelling of 22234134020 in words is "twenty-two billion, two hundred thirty-four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1901 2660 3802 4397 7604 8794 9505 13307 17588 19010 21985 26614 30779 36119 38020 43970 53228 61558 66535 72238 83543 87940 123116 133070 144476 153895 167086 180595 252833 266140 307790 334172 361190 417715 505666 584801 615580 722380 835430 1011332 1169602 1264165 1670860 2339204 2528330 2924005 5056660 5848010 8358697 11696020 16717394 33434788 41793485 58510879 83586970 117021758 158815243 167173940 234043516 292554395 317630486 585108790 635260972 794076215 1111706701 1170217580 1588152430 2223413402 3176304860 4446826804 5558533505 11117067010 22234134020