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211888968 = 2333129187
BaseRepresentation
bin11001010000100…
…10101101001000
3112202201002000120
430220102231020
5413220421333
633005303240
75152012044
oct1450225510
9482632016
10211888968
11a9673355
125ab64b20
1334b8a8b5
14201d9024
1513906db3
hexca12b48

211888968 has 48 divisors (see below), whose sum is σ = 547421040. Its totient is φ = 68343840.

The previous prime is 211888939. The next prime is 211888979. The reversal of 211888968 is 869888112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211888968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18471 + ... + 27657.

It is an arithmetic number, because the mean of its divisors is an integer number (11404605).

Almost surely, 2211888968 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 211888968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273710520).

211888968 is an abundant number, since it is smaller than the sum of its proper divisors (335532072).

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

211888968 is a wasteful number, since it uses less digits than its factorization.

211888968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9223 counting only the distinct ones).

The product of its digits is 442368, while the sum is 51.

The square root of 211888968 is about 14556.4064246640. The cubic root of 211888968 is about 596.1690810466.

The spelling of 211888968 in words is "two hundred eleven million, eight hundred eighty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 9187 11532 18374 23064 27561 36748 55122 73496 110244 220488 284797 569594 854391 1139188 1708782 2278376 3417564 6835128 8828707 17657414 26486121 35314828 52972242 70629656 105944484 211888968