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214103222420 = 22579841134081
BaseRepresentation
bin1100011101100110001…
…0111110100010010100
3202110122012222121121112
43013121202332202110
512001440411104140
6242205131034152
721316451235353
oct3073142764224
9673565877545
10214103222420
1182889761a1a
12355b289b958
131726112c4b9
14a51118799a
155881696c65
hex31d98be894

214103222420 has 24 divisors (see below), whose sum is σ = 449625751848. Its totient is φ = 85639577600.

The previous prime is 214103222341. The next prime is 214103222441. The reversal of 214103222420 is 24222301412.

214103222420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17559960196 + 196543262224 = 132514^2 + 443332^2 .

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, 1529780 + ... + 1663860.

It is an arithmetic number, because the mean of its divisors is an integer number (18734406327).

Almost surely, 2214103222420 is an apocalyptic number.

214103222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214103222420 is an abundant number, since it is smaller than the sum of its proper divisors (235522529428).

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

214103222420 is a wasteful number, since it uses less digits than its factorization.

214103222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213931 (or 213929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 214103222420 its reverse (24222301412), we get a palindrome (238325523832).

The spelling of 214103222420 in words is "two hundred fourteen billion, one hundred three million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 79841 134081 159682 268162 319364 399205 536324 670405 798410 1340810 1596820 2681620 10705161121 21410322242 42820644484 53525805605 107051611210 214103222420