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22362000940 = 22517733112897
BaseRepresentation
bin10100110100111000…
…010000111000101100
32010201110001100102001
4110310320100320230
5331244133012230
614134543142044
71421102605006
oct246470207054
963643040361
1022362000940
119535848314
124400ba4924
132154b4a726
141121c93376
158ad2d80ca
hex534e10e2c

22362000940 has 96 divisors (see below), whose sum is σ = 50583222144. Its totient is φ = 8273756160.

The previous prime is 22362000931. The next prime is 22362000977. The reversal of 22362000940 is 4900026322.

22362000940 is a nontrivial binomial coefficient, being equal to C(211481, 2).

It is a junction number, because it is equal to n+sod(n) for n = 22362000899 and 22362000908.

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, 7717572 + ... + 7720468.

It is an arithmetic number, because the mean of its divisors is an integer number (526908564).

Almost surely, 222362000940 is an apocalyptic number.

22362000940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22362000940 is the 211480-th triangular number.

22362000940 is the 70494-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22362000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291611072).

22362000940 is an abundant number, since it is smaller than the sum of its proper divisors (28221221204).

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

22362000940 is a wasteful number, since it uses less digits than its factorization.

22362000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 22362000940 in words is "twenty-two billion, three hundred sixty-two million, nine hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 311 340 365 622 730 1241 1244 1460 1555 2482 2897 3110 4964 5287 5794 6205 6220 10574 11588 12410 14485 21148 22703 24820 26435 28970 45406 49249 52870 57940 90812 98498 105740 113515 196996 211481 227030 246245 385951 422962 454060 492490 771902 845924 900967 984980 1057405 1543804 1801934 1929755 2114810 3595177 3603868 3859510 4229620 4504835 7190354 7719020 9009670 14380708 15316439 17975885 18019340 30632878 35951770 61265756 65770591 71903540 76582195 131541182 153164390 263082364 306328780 328852955 657705910 1118100047 1315411820 2236200094 4472400188 5590500235 11181000470 22362000940