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22001014340 = 22531118130047
BaseRepresentation
bin10100011111010111…
…001101011001000100
32002210021210022212222
4110133113031121010
5330024224424330
614035050031512
71406130351644
oct243727153104
962707708788
1022001014340
11936aaa9788
124320118598
1320c81188a6
1410c9d66524
1588b77e0e5
hex51f5cd644

22001014340 has 48 divisors (see below), whose sum is σ = 47734493184. Its totient is φ = 8509027200.

The previous prime is 22001014307. The next prime is 22001014351. The reversal of 22001014340 is 4341010022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717197 + ... + 747243.

It is an arithmetic number, because the mean of its divisors is an integer number (994468608).

Almost surely, 222001014340 is an apocalyptic number.

22001014340 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 22001014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867246592).

22001014340 is an abundant number, since it is smaller than the sum of its proper divisors (25733478844).

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

22001014340 is a wasteful number, since it uses less digits than its factorization.

22001014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31268 (or 31266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22001014340 its reverse (4341010022), we get a palindrome (26342024362).

The spelling of 22001014340 in words is "twenty-two billion, one million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1181 2362 4724 5905 11810 23620 30047 36611 60094 73222 120188 146444 150235 183055 300470 366110 600940 732220 931457 1862914 3725828 4657285 9314570 18629140 35485507 70971014 141942028 177427535 354855070 709710140 1100050717 2200101434 4400202868 5500253585 11000507170 22001014340