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1068227568 = 24335941911
BaseRepresentation
bin111111101010111…
…101101111110000
32202110001120202000
4333222331233300
54141431240233
6253555454000
735320533042
oct7752755760
92673046660
101068227568
114a8a94201
122598b7300
13140408025
14a1c2ba92
1563babd13
hex3fabdbf0

1068227568 has 80 divisors (see below), whose sum is σ = 3118252800. Its totient is φ = 350032320.

The previous prime is 1068227527. The next prime is 1068227591. The reversal of 1068227568 is 8657228601.

1068227568 is a `hidden beast` number, since 1 + 0 + 6 + 82 + 2 + 7 + 568 = 666.

It is a super-2 number, since 2×10682275682 = 2282220274070389248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4533 + ... + 46443.

It is an arithmetic number, because the mean of its divisors is an integer number (38978160).

Almost surely, 21068227568 is an apocalyptic number.

1068227568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068227568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559126400).

1068227568 is an abundant number, since it is smaller than the sum of its proper divisors (2050025232).

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

1068227568 is a wasteful number, since it uses less digits than its factorization.

1068227568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41987 (or 41975 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1068227568 is about 32683.7508251425. The cubic root of 1068227568 is about 1022.2440558734.

The spelling of 1068227568 in words is "one billion, sixty-eight million, two hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 6372 8496 12744 25488 41911 83822 125733 167644 251466 335288 377199 502932 670576 754398 1005864 1131597 1508796 2011728 2263194 2472749 3017592 4526388 4945498 6035184 7418247 9052776 9890996 14836494 18105552 19781992 22254741 29672988 39563984 44509482 59345976 66764223 89018964 118691952 133528446 178037928 267056892 356075856 534113784 1068227568