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214024122 = 232137431231
BaseRepresentation
bin11001100000110…
…11111110111010
3112220201112220100
430300123332322
5414242232442
633123140230
75206114014
oct1460337672
9486645810
10214024122
11aa8a1544
125b814676
13354576c0
14205d31b4
1513bc984c
hexcc1bfba

214024122 has 48 divisors (see below), whose sum is σ = 500467968. Its totient is φ = 65711520.

The previous prime is 214024117. The next prime is 214024133. The reversal of 214024122 is 221420412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214024095 and 214024104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173247 + ... + 174477.

It is an arithmetic number, because the mean of its divisors is an integer number (10426416).

Almost surely, 2214024122 is an apocalyptic number.

214024122 is an abundant number, since it is smaller than the sum of its proper divisors (286443846).

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

214024122 is a wasteful number, since it uses less digits than its factorization.

214024122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214024122 is about 14629.5632880821. The cubic root of 214024122 is about 598.1648762571.

Adding to 214024122 its reverse (221420412), we get a palindrome (435444534).

It can be divided in two parts, 2140 and 24122, that added together give a palindrome (26262).

The spelling of 214024122 in words is "two hundred fourteen million, twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 743 1231 1486 2229 2462 3693 4458 6687 7386 9659 11079 13374 16003 19318 22158 28977 32006 48009 57954 86931 96018 144027 173862 288054 914633 1829266 2743899 5487798 8231697 11890229 16463394 23780458 35670687 71341374 107012061 214024122