Search a number
-
+
116284224 = 2637312791
BaseRepresentation
bin1101110111001…
…01101101000000
322002210211222010
412323211231000
5214232043344
615312212520
72611254030
oct673455500
9262724863
10116284224
115a704071
1232b3a140
131b125844
141162d8c0
15a31e8b9
hex6ee5b40

116284224 has 112 divisors (see below), whose sum is σ = 363094016. Its totient is φ = 32140800.

The previous prime is 116284213. The next prime is 116284247. The reversal of 116284224 is 422482611.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 116284191 and 116284200.

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, 40269 + ... + 43059.

Almost surely, 2116284224 is an apocalyptic number.

116284224 is a gapful number since it is divisible by the number (14) 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 116284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181547008).

116284224 is an abundant number, since it is smaller than the sum of its proper divisors (246809792).

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

116284224 is a wasteful number, since it uses less digits than its factorization.

116284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2834 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 116284224 is about 10783.5163096274. The cubic root of 116284224 is about 488.0978931087.

The spelling of 116284224 in words is "one hundred sixteen million, two hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2791 2976 3472 5208 5582 5952 6944 8373 10416 11164 13888 16746 19537 20832 22328 33492 39074 41664 44656 58611 66984 78148 86521 89312 117222 133968 156296 173042 178624 234444 259563 267936 312592 346084 468888 519126 535872 605647 625184 692168 937776 1038252 1211294 1250368 1384336 1816941 1875552 2076504 2422588 2768672 3633882 3751104 4153008 4845176 5537344 7267764 8306016 9690352 14535528 16612032 19380704 29071056 38761408 58142112 116284224