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214181829 = 3223797981
BaseRepresentation
bin11001100010000…
…10011111000101
3112221000120020100
430301002133011
5414312304304
633130354313
75210341551
oct1461023705
9487016210
10214181829
11aa999a84
125b88b999
13354b1414
1420634861
1513c0b439
hexcc427c5

214181829 has 6 divisors (see below), whose sum is σ = 309373766. Its totient is φ = 142787880.

The previous prime is 214181801. The next prime is 214181833. The reversal of 214181829 is 928181412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 118592100 + 95589729 = 10890^2 + 9777^2 .

It is not a de Polignac number, because 214181829 - 211 = 214179781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214181793 and 214181802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214181899) 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 5 ways as a sum of consecutive naturals, for example, 11898982 + ... + 11898999.

Almost surely, 2214181829 is an apocalyptic number.

It is an amenable number.

214181829 is a deficient number, since it is larger than the sum of its proper divisors (95191937).

214181829 is a wasteful number, since it uses less digits than its factorization.

214181829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23797987 (or 23797984 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 214181829 is about 14634.9523060378. The cubic root of 214181829 is about 598.3117625458.

The spelling of 214181829 in words is "two hundred fourteen million, one hundred eighty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 23797981 71393943 214181829