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968409222 = 231121996703
BaseRepresentation
bin111001101110001…
…100000010000110
32111111020021201020
4321232030002012
53440403043342
6240032212010
732666225334
oct7156140206
92444207636
10968409222
11457707200
1223039a006
13125829111
1492886b54
155a0410ec
hex39b8c086

968409222 has 48 divisors (see below), whose sum is σ = 2139916800. Its totient is φ = 291939120.

The previous prime is 968409203. The next prime is 968409229. The reversal of 968409222 is 222904869.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968409229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141123 + ... + 147825.

It is an arithmetic number, because the mean of its divisors is an integer number (44581600).

Almost surely, 2968409222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968409222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069958400).

968409222 is an abundant number, since it is smaller than the sum of its proper divisors (1171507578).

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

968409222 is a wasteful number, since it uses less digits than its factorization.

968409222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 968409222 is about 31119.2741239252. The cubic root of 968409222 is about 989.3568662421.

The spelling of 968409222 in words is "nine hundred sixty-eight million, four hundred nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 199 242 363 398 597 726 1194 2189 4378 6567 6703 13134 13406 20109 24079 40218 48158 72237 73733 144474 147466 221199 442398 811063 1333897 1622126 2433189 2667794 4001691 4866378 8003382 14672867 29345734 44018601 88037202 161401537 322803074 484204611 968409222