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214076232 = 23325775153
BaseRepresentation
bin11001100001010…
…00101101001000
3112220211012101100
430300220231020
5414300414412
633124221400
75206421646
oct1460505510
9486735340
10214076232
11aa927707
125b83a860
1335475336
1420608196
1513bd9edc
hexcc28b48

214076232 has 48 divisors (see below), whose sum is σ = 580907340. Its totient is φ = 71221248.

The previous prime is 214076227. The next prime is 214076237. The reversal of 214076232 is 232670412.

214076232 is a `hidden beast` number, since 21 + 407 + 6 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (214076227) and next prime (214076237).

It can be written as a sum of positive squares in 2 ways, for example, as 178863876 + 35212356 = 13374^2 + 5934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214076196 and 214076205.

It is not an unprimeable number, because it can be changed into a prime (214076237) 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 11 ways as a sum of consecutive naturals, for example, 38968 + ... + 44120.

Almost surely, 2214076232 is an apocalyptic number.

It is an amenable number.

214076232 is an abundant number, since it is smaller than the sum of its proper divisors (366831108).

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

214076232 is a wasteful number, since it uses less digits than its factorization.

214076232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 214076232 is about 14631.3441624480. The cubic root of 214076232 is about 598.2134188263.

The spelling of 214076232 in words is "two hundred fourteen million, seventy-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 577 1154 1731 2308 3462 4616 5153 5193 6924 10306 10386 13848 15459 20612 20772 30918 41224 41544 46377 61836 92754 123672 185508 371016 2973281 5946562 8919843 11893124 17839686 23786248 26759529 35679372 53519058 71358744 107038116 214076232