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116228016 = 243219231847
BaseRepresentation
bin1101110110101…
…11111110110000
322002200222212100
412323113332300
5214223244031
615311100400
72610631122
oct673277660
9262628770
10116228016
115a675913
1232b11700
131b106098
1411617212
15a30cde6
hex6ed7fb0

116228016 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 35088768.

The previous prime is 116228009. The next prime is 116228023. The reversal of 116228016 is 610822611.

It is an interprime number because it is at equal distance from previous prime (116228009) and next prime (116228023).

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, 62005 + ... + 63851.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2116228016 is an apocalyptic number.

116228016 is a gapful number since it is divisible by the number (16) 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 116228016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

116228016 is an abundant number, since it is smaller than the sum of its proper divisors (241249104).

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

116228016 is a wasteful number, since it uses less digits than its factorization.

116228016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116228016 is about 10780.9097946324. The cubic root of 116228016 is about 488.0192369018.

The spelling of 116228016 in words is "one hundred sixteen million, two hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 46 48 57 69 72 76 92 114 138 144 152 171 184 207 228 276 304 342 368 414 437 456 552 684 828 874 912 1104 1311 1368 1656 1748 1847 2622 2736 3312 3496 3694 3933 5244 5541 6992 7388 7866 10488 11082 14776 15732 16623 20976 22164 29552 31464 33246 35093 42481 44328 62928 66492 70186 84962 88656 105279 127443 132984 140372 169924 210558 254886 265968 280744 315837 339848 382329 421116 509772 561488 631674 679696 764658 807139 842232 1019544 1263348 1529316 1614278 1684464 2039088 2421417 2526696 3058632 3228556 4842834 5053392 6117264 6457112 7264251 9685668 12914224 14528502 19371336 29057004 38742672 58114008 116228016