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336105220 = 225114573343
BaseRepresentation
bin10100000010001…
…000111100000100
3212102102220200111
4110002020330010
51142020331340
653203522404
711220563413
oct2402107404
9772386614
10336105220
111627a4910
1294689404
135482c939
14328d147a
151e791aea
hex14088f04

336105220 has 48 divisors (see below), whose sum is σ = 771902208. Its totient is φ = 121916160.

The previous prime is 336105191. The next prime is 336105221. The reversal of 336105220 is 22501633.

It is a super-2 number, since 2×3361052202 = 225933437822496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 336105191 and 336105200.

It is not an unprimeable number, because it can be changed into a prime (336105221) 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, 98869 + ... + 102211.

It is an arithmetic number, because the mean of its divisors is an integer number (16081296).

Almost surely, 2336105220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385951104).

336105220 is an abundant number, since it is smaller than the sum of its proper divisors (435796988).

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

336105220 is a wasteful number, since it uses less digits than its factorization.

336105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 336105220 is about 18333.1726659626. The cubic root of 336105220 is about 695.2778903566.

Adding to 336105220 its reverse (22501633), we get a palindrome (358606853).

The spelling of 336105220 in words is "three hundred thirty-six million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 3343 4570 5027 6686 9140 10054 13372 16715 20108 25135 33430 36773 50270 66860 73546 100540 147092 183865 367730 735460 1527751 3055502 6111004 7638755 15277510 16805261 30555020 33610522 67221044 84026305 168052610 336105220