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868226080 = 255231311801
BaseRepresentation
bin110011110000000…
…001010000100000
32020111201110021111
4303300001100200
53234231213310
6222053033104
730341541241
oct6360012040
92214643244
10868226080
11406100117
12202925794
1310ab50157
1483448cc8
155135228a
hex33c01420

868226080 has 96 divisors (see below), whose sum is σ = 2157902208. Its totient is φ = 329472000.

The previous prime is 868226077. The next prime is 868226087. The reversal of 868226080 is 80622868.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (868226087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481180 + ... + 482980.

It is an arithmetic number, because the mean of its divisors is an integer number (22478148).

Almost surely, 2868226080 is an apocalyptic number.

868226080 is a gapful number since it is divisible by the number (80) 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 868226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078951104).

868226080 is an abundant number, since it is smaller than the sum of its proper divisors (1289676128).

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

868226080 is a wasteful number, since it uses less digits than its factorization.

868226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 868226080 is about 29465.6763031158. The cubic root of 868226080 is about 953.9909959346.

The spelling of 868226080 in words is "eight hundred sixty-eight million, two hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 131 160 184 230 262 368 460 524 655 736 920 1048 1310 1801 1840 2096 2620 3013 3602 3680 4192 5240 6026 7204 9005 10480 12052 14408 15065 18010 20960 24104 28816 30130 36020 41423 48208 57632 60260 72040 82846 96416 120520 144080 165692 207115 235931 241040 288160 331384 414230 471862 482080 662768 828460 943724 1179655 1325536 1656920 1887448 2359310 3313840 3774896 4718620 5426413 6627680 7549792 9437240 10852826 18874480 21705652 27132065 37748960 43411304 54264130 86822608 108528260 173645216 217056520 434113040 868226080