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214930968 = 23372235737
BaseRepresentation
bin11001100111110…
…01011000011000
3112222102121212020
430303321120120
5420010242333
633154414440
75216611620
oct1463713030
9488377766
10214930968
111003608aa
125bb91420
13356b43b5
142078b880
1513d083b3
hexccf9618

214930968 has 64 divisors (see below), whose sum is σ = 616949760. Its totient is φ = 61122816.

The previous prime is 214930957. The next prime is 214930973. The reversal of 214930968 is 869039412.

214930968 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 (42).

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, 34596 + ... + 40332.

It is an arithmetic number, because the mean of its divisors is an integer number (9639840).

Almost surely, 2214930968 is an apocalyptic number.

214930968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214930968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308474880).

214930968 is an abundant number, since it is smaller than the sum of its proper divisors (402018792).

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

214930968 is a wasteful number, since it uses less digits than its factorization.

214930968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 214930968 is about 14660.5241379700. The cubic root of 214930968 is about 599.0085180640.

The spelling of 214930968 in words is "two hundred fourteen million, nine hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 5737 6244 9366 11474 12488 17211 18732 22948 34422 37464 40159 45896 68844 80318 120477 137688 160636 240954 321272 481908 963816 1279351 2558702 3838053 5117404 7676106 8955457 10234808 15352212 17910914 26866371 30704424 35821828 53732742 71643656 107465484 214930968