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200404244024200 = 235217531112121221
BaseRepresentation
bin101101100100010000111111…
…110001101100101110001000
3222021120110101100002012021201
4231210100333301230232020
5202231410342432233300
61550120234433513544
760132504662655106
oct5544207761545610
9867513340065251
10200404244024200
1158944a65250967
121a587827a128b4
1387a9067c4b338
14376b88d6dcc76
151827e9336166a
hexb6443fc6cb88

200404244024200 has 96 divisors (see below), whose sum is σ = 502656549919560. Its totient is φ = 74022788403200.

The previous prime is 200404244024161. The next prime is 200404244024207. The reversal of 200404244024200 is 2420442404002.

200404244024200 is digitally balanced in base 2, 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 12 ways, for example, as 108879165892324 + 91525078131876 = 10434518^2 + 9566874^2 .

It is a super-2 number, since 2×2004042440242002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200404244024207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555880411 + ... + 556240810.

Almost surely, 2200404244024200 is an apocalyptic number.

200404244024200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200404244024200 is an abundant number, since it is smaller than the sum of its proper divisors (302252305895360).

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

200404244024200 is a wasteful number, since it uses less digits than its factorization.

200404244024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112121307 (or 1112121298 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 200404244024200 its reverse (2420442404002), we get a palindrome (202824686428202).

The spelling of 200404244024200 in words is "two hundred trillion, four hundred four billion, two hundred forty-four million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 340 424 425 530 680 850 901 1060 1325 1700 1802 2120 2650 3400 3604 4505 5300 7208 9010 10600 18020 22525 36040 45050 90100 180200 1112121221 2224242442 4448484884 5560606105 8896969768 11121212210 18906060757 22242424420 27803030525 37812121514 44484848840 55606061050 58942424713 75624243028 94530303785 111212122100 117884849426 151248486056 189060607570 222424244200 235769698852 294712123565 378121215140 471539397704 472651518925 589424247130 756242430280 945303037850 1002021220121 1178848494260 1473560617825 1890606075700 2004042440242 2357696988520 2947121235650 3781212151400 4008084880484 5010106100605 5894242471300 8016169760968 10020212201210 11788484942600 20040424402420 25050530503025 40080848804840 50101061006050 100202122012100 200404244024200