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221068068 = 2231317312689
BaseRepresentation
bin11010010110100…
…11101100100100
3120101222102101020
431023103230210
5423043134233
633534131140
75323022214
oct1513235444
9511872336
10221068068
11103872791
1262050ab0
1336a52910
1421508244
151461b9b3
hexd2d3b24

221068068 has 96 divisors (see below), whose sum is σ = 607380480. Its totient is φ = 61931520.

The previous prime is 221068063. The next prime is 221068091. The reversal of 221068068 is 860860122.

221068068 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 not an unprimeable number, because it can be changed into a prime (221068063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80868 + ... + 83556.

It is an arithmetic number, because the mean of its divisors is an integer number (6326880).

Almost surely, 2221068068 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 221068068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303690240).

221068068 is an abundant number, since it is smaller than the sum of its proper divisors (386312412).

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

221068068 is a wasteful number, since it uses less digits than its factorization.

221068068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 221068068 is about 14868.3579456509. The cubic root of 221068068 is about 604.6564249172.

The spelling of 221068068 in words is "two hundred twenty-one million, sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 2689 3162 4836 5378 6324 6851 8067 10756 13702 16134 20553 27404 32268 34957 41106 45713 69914 82212 83359 91426 104871 137139 139828 166718 182852 209742 250077 274278 333436 419484 500154 548556 594269 1000308 1083667 1188538 1417103 1782807 2167334 2377076 2834206 3251001 3565614 4251309 4334668 5668412 6502002 7131228 8502618 13004004 17005236 18422339 36844678 55267017 73689356 110534034 221068068