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200440242 = 232472712
BaseRepresentation
bin10111111001001…
…11100110110010
3111222011102022200
423330213212302
5402303041432
631520044030
74652466612
oct1374474662
9458142280
10200440242
11a31637a2
1257163616
13326ac7c2
141c898a42
15128e4a7c
hexbf279b2

200440242 has 54 divisors (see below), whose sum is σ = 450061599. Its totient is φ = 64470840.

The previous prime is 200440237. The next prime is 200440259. The reversal of 200440242 is 242044002.

200440242 is a `hidden beast` number, since 200 + 440 + 24 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100220121 + 100220121 = 10011^2 + 10011^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10011.

It is a super-2 number, since 2×2004402422 = 80352581226037128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2823067 + ... + 2823137.

Almost surely, 2200440242 is an apocalyptic number.

200440242 is an abundant number, since it is smaller than the sum of its proper divisors (249621357).

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

200440242 is an equidigital number, since it uses as much as digits as its factorization.

200440242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 200440242 is about 14157.6919729171. The cubic root of 200440242 is about 585.2323249923.

Multiplying 200440242 by its sum of digits (18), we get a square (3607924356 = 600662).

200440242 divided by its sum of digits (18) gives a square (11135569 = 33372).

Multiplying 200440242 by its product of nonzero digits (512), we get a square (102625403904 = 3203522).

Adding to 200440242 its reverse (242044002), we get a palindrome (442484244).

The spelling of 200440242 in words is "two hundred million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 47 71 94 141 142 213 282 423 426 639 846 1278 2209 3337 4418 5041 6627 6674 10011 10082 13254 15123 19881 20022 30033 30246 39762 45369 60066 90738 156839 236927 313678 470517 473854 710781 941034 1411551 1421562 2132343 2823102 4264686 11135569 22271138 33406707 66813414 100220121 200440242