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22141886340 = 22357229230213
BaseRepresentation
bin10100100111110000…
…100101111110000100
32010011002212100221110
4110213300211332010
5330321310330330
614101041245020
71412460633330
oct244760457604
963132770843
1022141886340
119432576a22
12435b333770
13211b36cac2
1411009567c0
15898d08db0
hex527c25f84

22141886340 has 96 divisors (see below), whose sum is σ = 71163751680. Its totient is φ = 5038880256.

The previous prime is 22141886329. The next prime is 22141886381. The reversal of 22141886340 is 4368814122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18927 + ... + 211286.

It is an arithmetic number, because the mean of its divisors is an integer number (741289080).

Almost surely, 222141886340 is an apocalyptic number.

22141886340 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 22141886340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35581875840).

22141886340 is an abundant number, since it is smaller than the sum of its proper divisors (49021865340).

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

22141886340 is a wasteful number, since it uses less digits than its factorization.

22141886340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230461 (or 230459 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 22141886340 in words is "twenty-two billion, one hundred forty-one million, eight hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 420 458 687 916 1145 1374 1603 2290 2748 3206 3435 4580 4809 6412 6870 8015 9618 13740 16030 19236 24045 32060 48090 96180 230213 460426 690639 920852 1151065 1381278 1611491 2302130 2762556 3222982 3453195 4604260 4834473 6445964 6906390 8057455 9668946 13812780 16114910 19337892 24172365 32229820 48344730 52718777 96689460 105437554 158156331 210875108 263593885 316312662 369031439 527187770 632625324 738062878 790781655 1054375540 1107094317 1476125756 1581563310 1845157195 2214188634 3163126620 3690314390 4428377268 5535471585 7380628780 11070943170 22141886340