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200414112 = 2535214007
BaseRepresentation
bin10111111001000…
…01001110100000
3111222010002110220
423330201032200
5402301222422
631515323040
74652330463
oct1374411640
9458102426
10200414112
11a31460a8
1257150480
13326a0942
141c88d2da
15128dbe5c
hexbf213a0

200414112 has 48 divisors (see below), whose sum is σ = 527228352. Its totient is φ = 66659840.

The previous prime is 200414107. The next prime is 200414117. The reversal of 200414112 is 211414002.

200414112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200414107) and next prime (200414117).

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 = 200414091 and 200414100.

It is not an unprimeable number, because it can be changed into a prime (200414117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48013 + ... + 52019.

It is an arithmetic number, because the mean of its divisors is an integer number (10983924).

Almost surely, 2200414112 is an apocalyptic number.

It is an amenable number.

200414112 is an abundant number, since it is smaller than the sum of its proper divisors (326814240).

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

200414112 is a wasteful number, since it uses less digits than its factorization.

200414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 200414112 is about 14156.7691229320. The cubic root of 200414112 is about 585.2068929981.

Adding to 200414112 its reverse (211414002), we get a palindrome (411828114).

The spelling of 200414112 in words is "two hundred million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 1042 1563 2084 3126 4007 4168 6252 8014 8336 12021 12504 16028 16672 24042 25008 32056 48084 50016 64112 96168 128224 192336 384672 2087647 4175294 6262941 8350588 12525882 16701176 25051764 33402352 50103528 66804704 100207056 200414112