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2282087136 = 25373395963
BaseRepresentation
bin1000100000000101…
…1110001011100000
312220001011001000210
42020001132023200
514133203242021
61014241014120
7110360264160
oct21001361340
95801131023
102282087136
11a711a692a
12538324340
132a4a42a24
141791285a0
15d5533e76
hex8805e2e0

2282087136 has 48 divisors (see below), whose sum is σ = 6846263424. Its totient is φ = 652024704.

The previous prime is 2282087051. The next prime is 2282087149. The reversal of 2282087136 is 6317802822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2282087094 and 2282087103.

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 7 ways as a sum of consecutive naturals, for example, 1697310 + ... + 1698653.

It is an arithmetic number, because the mean of its divisors is an integer number (142630488).

Almost surely, 22282087136 is an apocalyptic number.

It is an amenable number.

2282087136 is an abundant number, since it is smaller than the sum of its proper divisors (4564176288).

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

2282087136 is a wasteful number, since it uses less digits than its factorization.

2282087136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395983 (or 3395975 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2282087136 is about 47771.1956727064. The cubic root of 2282087136 is about 1316.5703621777.

Adding to 2282087136 its reverse (6317802822), we get a palindrome (8599889958).

The spelling of 2282087136 in words is "two billion, two hundred eighty-two million, eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3395963 6791926 10187889 13583852 20375778 23771741 27167704 40751556 47543482 54335408 71315223 81503112 95086964 108670816 142630446 163006224 190173928 285260892 326012448 380347856 570521784 760695712 1141043568 2282087136