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200233212013200 = 24352574329054677
BaseRepresentation
bin101101100001110001101101…
…011110010110101010010000
3222020222002220211011211012210
4231201301231132112222100
5202221110104233410300
61545505511232152120
760114241440603402
oct5541615536265220
9866862824154183
10200233212013200
1158889479126643
121a55a655698640
138795bac259972
1437634a6984b72
1518237d3110050
hexb61c6d796a90

200233212013200 has 120 divisors (see below), whose sum is σ = 641525430740608. Its totient is φ = 53386223869440.

The previous prime is 200233212013171. The next prime is 200233212013229. The reversal of 200233212013200 is 2310212332002.

It is a happy number.

200233212013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200233212013171) and next prime (200233212013229).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7635739 + ... + 21418938.

Almost surely, 2200233212013200 is an apocalyptic number.

200233212013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200233212013200 is an abundant number, since it is smaller than the sum of its proper divisors (441292218727408).

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

200233212013200 is a wasteful number, since it uses less digits than its factorization.

200233212013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29060441 (or 29060430 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 200233212013200 its reverse (2310212332002), we get a palindrome (202543424345202).

The spelling of 200233212013200 in words is "two hundred trillion, two hundred thirty-three billion, two hundred twelve million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 5743 11486 17229 22972 28715 34458 45944 57430 68916 86145 91888 114860 137832 143575 172290 229720 275664 287150 344580 430725 459440 574300 689160 861450 1148600 1378320 1722900 2297200 3445800 6891600 29054677 58109354 87164031 116218708 145273385 174328062 232437416 290546770 348656124 435820155 464874832 581093540 697312248 726366925 871640310 1162187080 1394624496 1452733850 1743280620 2179100775 2324374160 2905467700 3486561240 4358201550 5810935400 6973122480 8716403100 11621870800 17432806200 34865612400 166861010011 333722020022 500583030033 667444040044 834305050055 1001166060066 1334888080088 1668610100110 2002332120132 2502915150165 2669776160176 3337220200220 4004664240264 4171525250275 5005830300330 6674440400440 8009328480528 8343050500550 10011660600660 12514575750825 13348880800880 16686101001100 20023321201320 25029151501650 33372202002200 40046642402640 50058303003300 66744404004400 100116606006600 200233212013200