Search a number
-
+
214104422112 = 2537842937799
BaseRepresentation
bin1100011101100110011…
…1100011011011100000
3202110122022020120021120
43013121213203123200
512001441213001422
6242205212452240
721316464363120
oct3073147433340
9673568216246
10214104422112
118288a4012a9
12355b317a080
131726145c589
14a5113bac80
15588183245c
hex31d99e36e0

214104422112 has 96 divisors (see below), whose sum is σ = 642406464000. Its totient is φ = 61163816448.

The previous prime is 214104422093. The next prime is 214104422131. The reversal of 214104422112 is 211224401412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214104422093) and next prime (214104422131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645389 + ... + 5683187.

It is an arithmetic number, because the mean of its divisors is an integer number (6691734000).

Almost surely, 2214104422112 is an apocalyptic number.

It is an amenable number.

214104422112 is an abundant number, since it is smaller than the sum of its proper divisors (428302041888).

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

214104422112 is a wasteful number, since it uses less digits than its factorization.

214104422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46248 (or 46240 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214104422112 its reverse (211224401412), we get a palindrome (425328823524).

The spelling of 214104422112 in words is "two hundred fourteen billion, one hundred four million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8429 16858 25287 33716 37799 50574 59003 67432 75598 101148 113397 118006 134864 151196 177009 202296 226794 236012 264593 269728 302392 354018 404592 453588 472024 529186 604784 708036 793779 809184 907176 944048 1058372 1209568 1416072 1587558 1814352 1888096 2116744 2832144 3175116 3628704 4233488 5664288 6350232 8466976 12700464 25400928 318607771 637215542 955823313 1274431084 1911646626 2230254397 2548862168 3823293252 4460508794 5097724336 6690763191 7646586504 8921017588 10195448672 13381526382 15293173008 17842035176 26763052764 30586346016 35684070352 53526105528 71368140704 107052211056 214104422112