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68221776 = 2437277733
BaseRepresentation
bin1000001000011…
…11101101010000
311202101000200110
410010033231100
5114431044101
610434121320
71455606210
oct404175520
9152330613
1068221776
1135567037
121aa20240
131119831c
1490bc240
155ec8cd6
hex410fb50

68221776 has 80 divisors (see below), whose sum is σ = 202419584. Its totient is φ = 19395072.

The previous prime is 68221771. The next prime is 68221801. The reversal of 68221776 is 67712286.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68221771) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92706 + ... + 93438.

Almost surely, 268221776 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 68221776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101209792).

68221776 is an abundant number, since it is smaller than the sum of its proper divisors (134197808).

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

68221776 is a wasteful number, since it uses less digits than its factorization.

68221776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 68221776 is about 8259.6474501034. The cubic root of 68221776 is about 408.6087605987.

The spelling of 68221776 in words is "sixty-eight million, two hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 733 831 1108 1466 1662 1939 2199 2216 2932 3324 3878 4398 4432 5131 5817 5864 6648 7756 8796 10262 11634 11728 13296 15393 15512 17592 20524 23268 30786 31024 35184 41048 46536 61572 82096 93072 123144 203041 246288 406082 609123 812164 1218246 1421287 1624328 2436492 2842574 3248656 4263861 4872984 5685148 8527722 9745968 11370296 17055444 22740592 34110888 68221776