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22304242000 = 245359189019
BaseRepresentation
bin10100110001011011…
…111011100101010000
32010120102100220001001
4110301123323211100
5331134341221000
614125121151344
71416501633415
oct246133734520
963512326031
1022304242000
119506188157
1243a578b554
132145ba6841
14111833a10c
158a81c946a
hex5316fb950

22304242000 has 80 divisors (see below), whose sum is σ = 54846043200. Its totient is φ = 8770435200.

The previous prime is 22304241989. The next prime is 22304242003. The reversal of 22304242000 is 24240322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×223042420002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22304242003) 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, 23491 + ... + 212509.

It is an arithmetic number, because the mean of its divisors is an integer number (685575540).

Almost surely, 222304242000 is an apocalyptic number.

22304242000 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 22304242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423021600).

22304242000 is an abundant number, since it is smaller than the sum of its proper divisors (32541801200).

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

22304242000 is a wasteful number, since it uses less digits than its factorization.

22304242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189101 (or 189085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 22304242000 its reverse (24240322), we get a palindrome (22328482322).

The spelling of 22304242000 in words is "twenty-two billion, three hundred four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 118000 189019 378038 756076 945095 1512152 1890190 3024304 3780380 4725475 7560760 9450950 11152121 15121520 18901900 22304242 23627375 37803800 44608484 47254750 55760605 75607600 89216968 94509500 111521210 178433936 189019000 223042420 278803025 378038000 446084840 557606050 892169680 1115212100 1394015125 2230424200 2788030250 4460848400 5576060500 11152121000 22304242000