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214120404 = 223210158889
BaseRepresentation
bin11001100001100…
…11011111010100
3112220220102222100
430300303133110
5414303323104
633125202100
75206664511
oct1460633724
9486812870
10214120404
11aa957913
125b860330
133548c484
142061a308
1513be8139
hexcc337d4

214120404 has 36 divisors (see below), whose sum is σ = 546616980. Its totient is φ = 70665600.

The previous prime is 214120399. The next prime is 214120421. The reversal of 214120404 is 404021412.

It can be written as a sum of positive squares in 2 ways, for example, as 137592900 + 76527504 = 11730^2 + 8748^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25809 + ... + 33080.

It is an arithmetic number, because the mean of its divisors is an integer number (15183805).

Almost surely, 2214120404 is an apocalyptic number.

It is an amenable number.

214120404 is an abundant number, since it is smaller than the sum of its proper divisors (332496576).

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

214120404 is a wasteful number, since it uses less digits than its factorization.

214120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59000 (or 58995 counting only the distinct ones).

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

The square root of 214120404 is about 14632.8535836316. The cubic root of 214120404 is about 598.2545606595.

Adding to 214120404 its reverse (404021412), we get a palindrome (618141816).

The spelling of 214120404 in words is "two hundred fourteen million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 58889 117778 176667 235556 353334 530001 706668 1060002 2120004 5947789 11895578 17843367 23791156 35686734 53530101 71373468 107060202 214120404