Search a number
-
+
216835668 = 223272929671
BaseRepresentation
bin11001110110010…
…10011001010100
3120010000101121200
430323022121110
5421002220133
633303312500
75242033650
oct1473123124
9503011550
10216835668
11101441935
126074b730
1335c0033a
1420b25a60
1514082913
hexceca654

216835668 has 72 divisors (see below), whose sum is σ = 648036480. Its totient is φ = 59814720.

The previous prime is 216835649. The next prime is 216835673. The reversal of 216835668 is 866538612.

216835668 is a `hidden beast` number, since 2 + 1 + 6 + 83 + 566 + 8 = 666.

216835668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7528 + ... + 22143.

Almost surely, 2216835668 is an apocalyptic number.

216835668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216835668 is an abundant number, since it is smaller than the sum of its proper divisors (431200812).

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

216835668 is a wasteful number, since it uses less digits than its factorization.

216835668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29717 (or 29712 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 216835668 is about 14725.3410147270. The cubic root of 216835668 is about 600.7727709478.

The spelling of 216835668 in words is "two hundred sixteen million, eight hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 29671 59342 89013 118684 178026 207697 267039 356052 415394 534078 623091 830788 860459 1068156 1246182 1720918 1869273 2492364 2581377 3441836 3738546 5162754 6023213 7477092 7744131 10325508 12046426 15488262 18069639 24092852 30976524 36139278 54208917 72278556 108417834 216835668