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200448680 = 2352329473
BaseRepresentation
bin10111111001010…
…01101010101000
3111222011211220012
423330221222220
5402303324210
631520151052
74652533325
oct1374515250
9458154805
10200448680
11a316a073
1257168488
13326b35b3
141c89bb4c
15128e7305
hexbf29aa8

200448680 has 48 divisors (see below), whose sum is σ = 471520980. Its totient is φ = 76685312.

The previous prime is 200448607. The next prime is 200448701. The reversal of 200448680 is 86844002.

It can be written as a sum of positive squares in 2 ways, for example, as 189172516 + 11276164 = 13754^2 + 3358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16424 + ... + 25896.

Almost surely, 2200448680 is an apocalyptic number.

200448680 is a gapful number since it is divisible by the number (20) 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 200448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235760490).

200448680 is an abundant number, since it is smaller than the sum of its proper divisors (271072300).

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

200448680 is a wasteful number, since it uses less digits than its factorization.

200448680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 200448680 is about 14157.9899703312. The cubic root of 200448680 is about 585.2405371175.

The spelling of 200448680 in words is "two hundred million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 4232 5290 9473 10580 18946 21160 37892 47365 75784 94730 189460 217879 378920 435758 871516 1089395 1743032 2178790 4357580 5011217 8715160 10022434 20044868 25056085 40089736 50112170 100224340 200448680