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200226440 = 235291011709
BaseRepresentation
bin10111110111100…
…11011010001000
3111221202120001002
423323303122020
5402224221230
631511314132
74650616361
oct1373633210
9457676032
10200226440
11a30280a7
125707b948
13326363ab
141c840b68
15128a1545
hexbef3688

200226440 has 64 divisors (see below), whose sum is σ = 470934000. Its totient is φ = 76518400.

The previous prime is 200226419. The next prime is 200226449. The reversal of 200226440 is 44622002.

200226440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 113252164 + 86974276 = 10642^2 + 9326^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (200226449) 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, 116306 + ... + 118014.

Almost surely, 2200226440 is an apocalyptic number.

200226440 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 200226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235467000).

200226440 is an abundant number, since it is smaller than the sum of its proper divisors (270707560).

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

200226440 is a wasteful number, since it uses less digits than its factorization.

200226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 200226440 is about 14150.1392219299. The cubic root of 200226440 is about 585.0241692598.

Adding to 200226440 its reverse (44622002), we get a palindrome (244848442).

It can be divided in two parts, 20022 and 6440, that added together give a palindrome (26462).

The spelling of 200226440 in words is "two hundred million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 101 116 145 202 232 290 404 505 580 808 1010 1160 1709 2020 2929 3418 4040 5858 6836 8545 11716 13672 14645 17090 23432 29290 34180 49561 58580 68360 99122 117160 172609 198244 247805 345218 396488 495610 690436 863045 991220 1380872 1726090 1982440 3452180 5005661 6904360 10011322 20022644 25028305 40045288 50056610 100113220 200226440