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2214140994 = 2341336221
BaseRepresentation
bin1000001111111001…
…0001110001000010
312201022022000110000
42003332101301002
514013310002434
61003412420430
7105603613362
oct20376216102
95638260400
102214140994
11a3690899a
12519617716
13293943000
141700bc9a2
15ce5b1b99
hex83f91c42

2214140994 has 80 divisors (see below), whose sum is σ = 5375434680. Its totient is φ = 681164640.

The previous prime is 2214140989. The next prime is 2214141011. The reversal of 2214140994 is 4990414122.

2214140994 is a `hidden beast` number, since 22 + 141 + 409 + 94 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19686969 + 2194454025 = 4437^2 + 46845^2 .

It is a super-2 number, since 2×22141409942 = 9804840682622616072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352804 + ... + 359024.

Almost surely, 22214140994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214140994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687717340).

2214140994 is an abundant number, since it is smaller than the sum of its proper divisors (3161293686).

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

2214140994 is an equidigital number, since it uses as much as digits as its factorization.

2214140994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2214140994 is about 47054.6596417401. The cubic root of 2214140994 is about 1303.3721120730.

The spelling of 2214140994 in words is "two billion, two hundred fourteen million, one hundred forty thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 2197 3042 4394 4563 6221 6591 9126 12442 13182 13689 18663 19773 27378 37326 39546 55989 59319 80873 111978 118638 161746 167967 177957 242619 335934 355914 485238 503901 727857 1007802 1051349 1455714 2102698 2183571 3154047 4367142 6308094 6550713 9462141 13101426 13667537 18924282 27335074 28386423 41002611 56772846 82005222 85159269 123007833 170318538 246015666 369023499 738046998 1107070497 2214140994