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214607668 = 221131433659
BaseRepresentation
bin11001100101010…
…10011100110100
3112221211012101011
430302222130310
5414414421133
633143442004
75214064222
oct1462523464
9487735334
10214607668
1110015aa10
125ba56304
13356001b2
1420705b12
1513c926cd
hexccaa734

214607668 has 48 divisors (see below), whose sum is σ = 432875520. Its totient is φ = 92181600.

The previous prime is 214607647. The next prime is 214607681. The reversal of 214607668 is 866706412.

214607668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214607668.

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, 56823 + ... + 60481.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2214607668 is an apocalyptic number.

It is an amenable number.

214607668 is an abundant number, since it is smaller than the sum of its proper divisors (218267852).

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

214607668 is a wasteful number, since it uses less digits than its factorization.

214607668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 214607668 is about 14649.4937796499. The cubic root of 214607668 is about 598.7080236959.

The spelling of 214607668 in words is "two hundred fourteen million, six hundred seven thousand, six hundred sixty-eight".

Divisors: 1 2 4 11 22 31 43 44 62 86 124 172 341 473 682 946 1333 1364 1892 2666 3659 5332 7318 14636 14663 29326 40249 58652 80498 113429 157337 160996 226858 314674 453716 629348 1247719 1730707 2495438 3461414 4877447 4990876 6922828 9754894 19509788 53651917 107303834 214607668