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68224680 = 233557019
BaseRepresentation
bin1000001000100…
…00011010101000
311202101011200000
410010100122220
5114431142210
610434143000
71455620526
oct404203250
9152334600
1068224680
1135569237
121aa21a60
1311199744
1490bd316
155ec9ac0
hex41106a8

68224680 has 96 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 18190656.

The previous prime is 68224679. The next prime is 68224729. The reversal of 68224680 is 8642286.

It is a super-2 number, since 2×682246802 = 9309213922204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6211 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 268224680 is an apocalyptic number.

68224680 is a gapful number since it is divisible by the number (60) 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 68224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

68224680 is an abundant number, since it is smaller than the sum of its proper divisors (161750520).

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

68224680 is a wasteful number, since it uses less digits than its factorization.

68224680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68224680 is about 8259.8232426608. The cubic root of 68224680 is about 408.6145582734.

The spelling of 68224680 in words is "sixty-eight million, two hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 7019 9720 14038 21057 28076 35095 42114 56152 63171 70190 84228 105285 126342 140380 168456 189513 210570 252684 280760 315855 379026 421140 505368 568539 631710 758052 842280 947565 1137078 1263420 1516104 1705617 1895130 2274156 2526840 2842695 3411234 3790260 4548312 5685390 6822468 7580520 8528085 11370780 13644936 17056170 22741560 34112340 68224680