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200413402332 = 223111361231387
BaseRepresentation
bin1011101010100110010…
…0011101010011011100
3201011022011011200212220
42322221210131103130
511240421312333312
6232022454425340
720323300545423
oct2725144352334
9634264150786
10200413402332
1177aa4160520
1232a12062250
1315b8bb73b40
1499b2d742ba
15532e8d3c8c
hex2ea991d4dc

200413402332 has 144 divisors (see below), whose sum is σ = 558556742016. Its totient is φ = 55138924800.

The previous prime is 200413402331. The next prime is 200413402351. The reversal of 200413402332 is 233204314002.

200413402332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200413402331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6369543 + ... + 6400929.

It is an arithmetic number, because the mean of its divisors is an integer number (3878866264).

Almost surely, 2200413402332 is an apocalyptic number.

200413402332 is a gapful number since it is divisible by the number (22) 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 200413402332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279278371008).

200413402332 is an abundant number, since it is smaller than the sum of its proper divisors (358143339684).

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

200413402332 is a wasteful number, since it uses less digits than its factorization.

200413402332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31540 (or 31477 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200413402332 its reverse (233204314002), we get a palindrome (433617716334).

The spelling of 200413402332 in words is "two hundred billion, four hundred thirteen million, four hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 183 244 286 366 429 572 671 732 793 858 1342 1586 1716 2013 2379 2684 3172 3721 4026 4758 7442 8052 8723 9516 11163 14884 17446 22326 26169 31387 34892 40931 44652 48373 52338 62774 81862 94161 96746 104676 122793 125548 145119 163724 188322 193492 245586 290238 345257 376644 408031 491172 532103 580476 690514 816062 1035771 1064206 1224093 1381028 1596309 1632124 1914607 2071542 2128412 2448186 3192618 3829214 4143084 4488341 4896372 5743821 6385236 7658428 8976682 11487642 13465023 17953364 21060677 22975284 24889891 26930046 42121354 49779782 53860092 63182031 74669673 84242708 99559564 116791027 126364062 149339346 233582054 252728124 273788801 298678692 350373081 467164108 547577602 700746162 821366403 1095155204 1284701297 1401492324 1518283351 1642732806 2569402594 3036566702 3285465612 3854103891 4554850053 5138805188 6073133404 7708207782 9109700106 15416415564 16701116861 18219400212 33402233722 50103350583 66804467444 100206701166 200413402332