Search a number
-
+
68221816 = 23131747821
BaseRepresentation
bin1000001000011…
…11101101111000
311202101000201221
410010033231320
5114431044231
610434121424
71455606265
oct404175570
9152330657
1068221816
1135567073
121aa20274
1311198350
1490bc26c
155ec8d11
hex410fb78

68221816 has 64 divisors (see below), whose sum is σ = 149143680. Its totient is φ = 28968960.

The previous prime is 68221807. The next prime is 68221823. The reversal of 68221816 is 61812286.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 82686 + ... + 83506.

It is an arithmetic number, because the mean of its divisors is an integer number (2330370).

Almost surely, 268221816 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 68221816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571840).

68221816 is an abundant number, since it is smaller than the sum of its proper divisors (80921864).

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

68221816 is a wasteful number, since it uses less digits than its factorization.

68221816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 68221816 is about 8259.6498715139. The cubic root of 68221816 is about 408.6088404576.

The spelling of 68221816 in words is "sixty-eight million, two hundred twenty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 17 26 34 47 52 68 94 104 136 188 221 376 442 611 799 821 884 1222 1598 1642 1768 2444 3196 3284 4888 6392 6568 10387 10673 13957 20774 21346 27914 38587 41548 42692 55828 77174 83096 85384 111656 154348 181441 308696 362882 501631 655979 725764 1003262 1311958 1451528 2006524 2623916 4013048 5247832 8527727 17055454 34110908 68221816