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214220400112 = 24313173324683
BaseRepresentation
bin1100011110000010000…
…1111110010111110000
3202110221101110212012001
43013200201332113300
512002210410300422
6242224514343344
721322403233315
oct3074041762760
9673841425161
10214220400112
1182939916294
1235625b8ab54
131727c4a8904
14a52296ad0c
15588bae1227
hex31e087e5f0

214220400112 has 40 divisors (see below), whose sum is σ = 416635213104. Its totient is φ = 106702063104.

The previous prime is 214220400083. The next prime is 214220400113. The reversal of 214220400112 is 211004022412.

214220400112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142204001122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214220400112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214220400113) by changing a digit.

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, 8666523 + ... + 8691205.

Almost surely, 2214220400112 is an apocalyptic number.

It is an amenable number.

214220400112 is a deficient number, since it is larger than the sum of its proper divisors (202414812992).

214220400112 is a wasteful number, since it uses less digits than its factorization.

214220400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26737 (or 26731 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 214220400112 its reverse (211004022412), we get a palindrome (425224422524).

The spelling of 214220400112 in words is "two hundred fourteen billion, two hundred twenty million, four hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 313 626 1252 1733 2504 3466 5008 6932 13864 24683 27728 49366 98732 197464 394928 542429 1084858 2169716 4339432 7725779 8678864 15451558 30903116 42775639 61806232 85551278 123612464 171102556 342205112 684410224 13388775007 26777550014 53555100028 107110200056 214220400112