Search a number
-
+
2204240040 = 23345680321
BaseRepresentation
bin1000001101100010…
…0000100010101000
312200121122222220000
42003120200202220
514003241140130
61002420303000
7105423505542
oct20330404250
95617588800
102204240040
11a31266192
12516241a60
13291887562
1416ca62692
15cd7a8260
hex836208a8

2204240040 has 80 divisors (see below), whose sum is σ = 7408706580. Its totient is φ = 587796480.

The previous prime is 2204240023. The next prime is 2204240107. The reversal of 2204240040 is 400424022.

2204240040 is a `hidden beast` number, since 220 + 4 + 2 + 400 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2105157924 + 99082116 = 45882^2 + 9954^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2204239995 and 2204240022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 336921 + ... + 343400.

Almost surely, 22204240040 is an apocalyptic number.

2204240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204240040 is an abundant number, since it is smaller than the sum of its proper divisors (5204466540).

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

2204240040 is a wasteful number, since it uses less digits than its factorization.

2204240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680344 (or 680331 counting only the distinct ones).

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

The square root of 2204240040 is about 46949.3348195691. The cubic root of 2204240040 is about 1301.4264500069.

Adding to 2204240040 its reverse (400424022), we get a palindrome (2604664062).

The spelling of 2204240040 in words is "two billion, two hundred four million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 680321 1360642 2040963 2721284 3401605 4081926 5442568 6122889 6803210 8163852 10204815 12245778 13606420 16327704 18368667 20409630 24491556 27212840 30614445 36737334 40819260 48983112 55106001 61228890 73474668 81638520 91843335 110212002 122457780 146949336 183686670 220424004 244915560 275530005 367373340 440848008 551060010 734746680 1102120020 2204240040