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214020412220 = 22553472001313
BaseRepresentation
bin1100011101010010011…
…1000101001100111100
3202110102110011102101002
43013110213011030330
512001303211142340
6242153012105432
721314424326246
oct3072447051474
9673373142332
10214020412220
1182846a4143a
123558b005278
1317249c26c94
14a50418d096
15587928a715
hex31d49c533c

214020412220 has 24 divisors (see below), whose sum is σ = 449527145424. Its totient is φ = 85592111616.

The previous prime is 214020412171. The next prime is 214020412261. The reversal of 214020412220 is 22214020412.

214020412220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214020412192 and 214020412201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893717 + ... + 1107596.

It is an arithmetic number, because the mean of its divisors is an integer number (18730297726).

Almost surely, 2214020412220 is an apocalyptic number.

214020412220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214020412220 is an abundant number, since it is smaller than the sum of its proper divisors (235506733204).

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

214020412220 is a wasteful number, since it uses less digits than its factorization.

214020412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006669 (or 2006667 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214020412220 its reverse (22214020412), we get a palindrome (236234432632).

The spelling of 214020412220 in words is "two hundred fourteen billion, twenty million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5347 10694 21388 26735 53470 106940 2001313 4002626 8005252 10006565 20013130 40026260 10701020611 21402041222 42804082444 53505103055 107010206110 214020412220