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2240102982 = 231353701773
BaseRepresentation
bin1000010110000101…
…0100001001000110
312210010011000121010
42011201110021012
514041431243412
61010141103050
7106340363325
oct20541241106
95703130533
102240102982
11a4a530587
12526257a86
13299133030
1417371a0bc
15d19de33c
hex85854246

2240102982 has 64 divisors (see below), whose sum is σ = 4929253056. Its totient is φ = 674419200.

The previous prime is 2240102947. The next prime is 2240103031. The reversal of 2240102982 is 2892010422.

It is a super-2 number, since 2×22401029822 = 10036122739930584648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897548 + ... + 2898320.

It is an arithmetic number, because the mean of its divisors is an integer number (77019579).

Almost surely, 22240102982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240102982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464626528).

2240102982 is an abundant number, since it is smaller than the sum of its proper divisors (2689150074).

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

2240102982 is a wasteful number, since it uses less digits than its factorization.

2240102982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2240102982 is about 47329.7261982361. The cubic root of 2240102982 is about 1308.4465750152.

The spelling of 2240102982 in words is "two billion, two hundred forty million, one hundred two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 701 773 1378 1402 1546 2067 2103 2319 4134 4206 4638 9113 10049 18226 20098 27339 30147 37153 40969 54678 60294 74306 81938 111459 122907 222918 245814 482989 532597 541873 965978 1065194 1083746 1448967 1597791 1625619 2897934 3195582 3251238 7044349 14088698 21133047 28719269 42266094 57438538 86157807 172315614 373350497 746700994 1120051491 2240102982