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282294012 = 2237111371331
BaseRepresentation
bin10000110100110…
…111011011111100
3201200012000120210
4100310313123330
51034231402022
644002312420
76665313420
oct2064673374
9650160523
10282294012
11135390740
127a658710
134663b8a0
14296c4b80
1519bb2a0c
hex10d376fc

282294012 has 192 divisors, whose sum is σ = 899555328. Its totient is φ = 66528000.

The previous prime is 282293983. The next prime is 282294041. The reversal of 282294012 is 210492282.

It is an interprime number because it is at equal distance from previous prime (282293983) and next prime (282294041).

It is a super-2 number, since 2×2822940122 = 159379818422112288, 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852687 + ... + 853017.

It is an arithmetic number, because the mean of its divisors is an integer number (4685184).

Almost surely, 2282294012 is an apocalyptic number.

282294012 is a gapful number since it is divisible by the number (22) 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 282294012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449777664).

282294012 is an abundant number, since it is smaller than the sum of its proper divisors (617261316).

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

282294012 is a wasteful number, since it uses less digits than its factorization.

282294012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

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

The square root of 282294012 is about 16801.6074231009. The cubic root of 282294012 is about 655.9950394975.

The spelling of 282294012 in words is "two hundred eighty-two million, two hundred ninety-four thousand, twelve".