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214380108 = 22346110847
BaseRepresentation
bin11001100011100…
…10111001001100
3112221101122020000
430301302321030
5414340130413
633134524300
75212125615
oct1461627114
9487348200
10214380108
11100014a48
125b966690
1335550747
1420686c0c
1513c4a073
hexcc72e4c

214380108 has 60 divisors (see below), whose sum is σ = 569671872. Its totient is φ = 70282080.

The previous prime is 214380091. The next prime is 214380121. The reversal of 214380108 is 801083412.

214380108 is digitally balanced in base 2 and base 3, because in such bases 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14341 + ... + 25187.

Almost surely, 2214380108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214380108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284835936).

214380108 is an abundant number, since it is smaller than the sum of its proper divisors (355291764).

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

214380108 is a wasteful number, since it uses less digits than its factorization.

214380108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 214380108 is about 14641.7248983854. The cubic root of 214380108 is about 598.4963347996.

The spelling of 214380108 in words is "two hundred fourteen million, three hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9882 10847 19764 21694 32541 43388 65082 97623 130164 195246 292869 390492 585738 661667 878607 1171476 1323334 1757214 1985001 2646668 3514428 3970002 5955003 7940004 11910006 17865009 23820012 35730018 53595027 71460036 107190054 214380108