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214202112 = 283278909
BaseRepresentation
bin11001100010001…
…11011100000000
3112221001121001120
430301013130000
5414313431422
633131032240
75210454645
oct1461073400
9487047046
10214202112
11aaa03243
125b89b680
13354ba717
142063bdcc
1513c1245c
hexcc47700

214202112 has 36 divisors (see below), whose sum is σ = 570092040. Its totient is φ = 71400448.

The previous prime is 214202111. The next prime is 214202117. The reversal of 214202112 is 211202412.

It is a junction number, because it is equal to n+sod(n) for n = 214202091 and 214202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214202111) 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 3 ways as a sum of consecutive naturals, for example, 138687 + ... + 140222.

It is an arithmetic number, because the mean of its divisors is an integer number (15835890).

Almost surely, 2214202112 is an apocalyptic number.

It is an amenable number.

214202112 is an abundant number, since it is smaller than the sum of its proper divisors (355889928).

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

214202112 is an equidigital number, since it uses as much as digits as its factorization.

214202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278928 (or 278914 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214202112 is about 14635.6452539681. The cubic root of 214202112 is about 598.3306486397.

Adding to 214202112 its reverse (211202412), we get a palindrome (425404524).

It can be divided in two parts, 21420 and 2112, that added together give a palindrome (23532).

The spelling of 214202112 in words is "two hundred fourteen million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 278909 557818 836727 1115636 1673454 2231272 3346908 4462544 6693816 8925088 13387632 17850176 26775264 35700352 53550528 71400704 107101056 214202112