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22022414340 = 22355922212801
BaseRepresentation
bin10100100000101000…
…110110000000000100
32002211210001120011120
4110200220312000010
5330100214224330
614041132433540
71406510301423
oct244050660004
962753046146
1022022414340
119381095933
1243273188b0
1320cc69c304
1410ccb372ba
1588d5a9c10
hex520a36004

22022414340 has 96 divisors (see below), whose sum is σ = 62758523520. Its totient is φ = 5768448000.

The previous prime is 22022414311. The next prime is 22022414347. The reversal of 22022414340 is 4341422022.

It is a self number, because there is not a number n which added to its sum of digits gives 22022414340.

It is not an unprimeable number, because it can be changed into a prime (22022414347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7860940 + ... + 7863740.

It is an arithmetic number, because the mean of its divisors is an integer number (653734620).

Almost surely, 222022414340 is an apocalyptic number.

22022414340 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 22022414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31379261760).

22022414340 is an abundant number, since it is smaller than the sum of its proper divisors (40736109180).

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

22022414340 is a wasteful number, since it uses less digits than its factorization.

22022414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5091 counting only the distinct ones).

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

Adding to 22022414340 its reverse (4341422022), we get a palindrome (26363836362).

The spelling of 22022414340 in words is "twenty-two billion, twenty-two million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 2221 2801 3540 4442 5602 6663 8403 8884 11105 11204 13326 14005 16806 22210 26652 28010 33315 33612 42015 44420 56020 66630 84030 131039 133260 165259 168060 262078 330518 393117 495777 524156 655195 661036 786234 826295 991554 1310390 1572468 1652590 1965585 1983108 2478885 2620780 3305180 3931170 4957770 6221021 7862340 9915540 12442042 18663063 24884084 31105105 37326126 62210210 74652252 93315315 124420420 186630630 367040239 373261260 734080478 1101120717 1468160956 1835201195 2202241434 3670402390 4404482868 5505603585 7340804780 11011207170 22022414340