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16214112 = 253256299
BaseRepresentation
bin111101110110…
…100001100000
31010111202120200
4331312201200
513122322422
61335305200
7254550315
oct75664140
933452520
1016214112
1191749a2
12551b200
133489165
142220d0c
1516542ac
hexf76860

16214112 has 36 divisors (see below), whose sum is σ = 46109700. Its totient is φ = 5404608.

The previous prime is 16214111. The next prime is 16214113. The reversal of 16214112 is 21141261.

16214112 is a `hidden beast` number, since 1 + 621 + 41 + 1 + 2 = 666.

16214112 is digitally balanced in base 2 and base 4, because in such bases 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 (16214111) and next prime (16214113).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27862 + ... + 28437.

It is an arithmetic number, because the mean of its divisors is an integer number (1280825).

Almost surely, 216214112 is an apocalyptic number.

16214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16214112 is an abundant number, since it is smaller than the sum of its proper divisors (29895588).

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

16214112 is a wasteful number, since it uses less digits than its factorization.

16214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56315 (or 56304 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 16214112 is about 4026.6750551789. The cubic root of 16214112 is about 253.1032506233.

Adding to 16214112 its reverse (21141261), we get a palindrome (37355373).

It can be divided in two parts, 162 and 14112, that multiplied together give a square (2286144 = 15122).

The spelling of 16214112 in words is "sixteen million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56299 112598 168897 225196 337794 450392 506691 675588 900784 1013382 1351176 1801568 2026764 2702352 4053528 5404704 8107056 16214112