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214076112 = 24320872137
BaseRepresentation
bin11001100001010…
…00101011010000
3112220211012012220
430300220223100
5414300413422
633124221040
75206421415
oct1460505320
9486735186
10214076112
11aa927608
125b83a780
1335475273
142060810c
1513bd9e5c
hexcc28ad0

214076112 has 40 divisors (see below), whose sum is σ = 553553856. Its totient is φ = 71291136.

The previous prime is 214076099. The next prime is 214076113. The reversal of 214076112 is 211670412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214076113) by changing a digit.

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, 99108 + ... + 101244.

Almost surely, 2214076112 is an apocalyptic number.

It is an amenable number.

214076112 is an abundant number, since it is smaller than the sum of its proper divisors (339477744).

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

214076112 is a wasteful number, since it uses less digits than its factorization.

214076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 214076112 is about 14631.3400616622. The cubic root of 214076112 is about 598.2133070505.

The spelling of 214076112 in words is "two hundred fourteen million, seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2087 2137 4174 4274 6261 6411 8348 8548 12522 12822 16696 17096 25044 25644 33392 34192 50088 51288 100176 102576 4459919 8919838 13379757 17839676 26759514 35679352 53519028 71358704 107038056 214076112