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214932168 = 233211416619
BaseRepresentation
bin11001100111110…
…01101011001000
3112222102200111200
430303321223020
5420010312133
633154424200
75216615253
oct1463715310
9488380450
10214932168
111003617a0
125bb92060
13356b4ac9
142078c09a
1513d08913
hexccf9ac8

214932168 has 96 divisors (see below), whose sum is σ = 650613600. Its totient is φ = 63532800.

The previous prime is 214932131. The next prime is 214932239. The reversal of 214932168 is 861239412.

214932168 is a `hidden beast` number, since 2 + 1 + 493 + 2 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29163 + ... + 35781.

It is an arithmetic number, because the mean of its divisors is an integer number (6777225).

Almost surely, 2214932168 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 214932168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325306800).

214932168 is an abundant number, since it is smaller than the sum of its proper divisors (435681432).

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

214932168 is a wasteful number, since it uses less digits than its factorization.

214932168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6676 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 214932168 is about 14660.5650641440. The cubic root of 214932168 is about 599.0096328543.

The spelling of 214932168 in words is "two hundred fourteen million, nine hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 4059 5412 6619 8118 10824 13238 16236 19857 26476 32472 39714 52952 59571 72809 79428 119142 145618 158856 218427 238284 271379 291236 436854 476568 542758 582472 655281 814137 873708 1085516 1310562 1628274 1747416 2171032 2442411 2621124 2985169 3256548 4884822 5242248 5970338 6513096 8955507 9769644 11940676 17911014 19539288 23881352 26866521 35822028 53733042 71644056 107466084 214932168