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282214008 = 233217230567
BaseRepresentation
bin10000110100100…
…011111001111000
3201200000221211200
4100310203321320
51034221322013
644000454200
76664531236
oct2064437170
9650027750
10282214008
1113533661a
127a61a360
134661134b
14296a3956
1519b98e73
hex10d23e78

282214008 has 48 divisors (see below), whose sum is σ = 809293680. Its totient is φ = 88537344.

The previous prime is 282214001. The next prime is 282214019. The reversal of 282214008 is 800412282.

It is a super-2 number, since 2×2822140082 = 159289492622848128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282214001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114060 + ... + 116507.

It is an arithmetic number, because the mean of its divisors is an integer number (16860285).

Almost surely, 2282214008 is an apocalyptic number.

It is an amenable number.

282214008 is an abundant number, since it is smaller than the sum of its proper divisors (527079672).

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

282214008 is a wasteful number, since it uses less digits than its factorization.

282214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230596 (or 230589 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 282214008 is about 16799.2264107607. The cubic root of 282214008 is about 655.9330625236.

The spelling of 282214008 in words is "two hundred eighty-two million, two hundred fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 230567 461134 691701 922268 1383402 1844536 2075103 2766804 3919639 4150206 5533608 7839278 8300412 11758917 15678556 16600824 23517834 31357112 35276751 47035668 70553502 94071336 141107004 282214008