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200403342552 = 233729173237767
BaseRepresentation
bin1011101010100011111…
…0000101010011011000
3201011021110020121110110
42322220332011103120
511240411223430202
6232021455044320
720323116206550
oct2725076052330
9634243217413
10200403342552
1177a9950a456
1232a0a8106a0
1315b89a60cca
1499b18b6160
15532da9826c
hex2ea8f854d8

200403342552 has 128 divisors (see below), whose sum is σ = 595751500800. Its totient is φ = 54963890688.

The previous prime is 200403342547. The next prime is 200403342553. The reversal of 200403342552 is 255243304002.

200403342552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004033425522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200403342553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723973 + ... + 961739.

It is an arithmetic number, because the mean of its divisors is an integer number (4654308600).

Almost surely, 2200403342552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200403342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297875750400).

200403342552 is an abundant number, since it is smaller than the sum of its proper divisors (395348158248).

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

200403342552 is a wasteful number, since it uses less digits than its factorization.

200403342552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237985 (or 237981 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 200403342552 its reverse (255243304002), we get a palindrome (455646646554).

The spelling of 200403342552 in words is "two hundred billion, four hundred three million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 173 174 203 232 346 348 406 519 609 692 696 812 1038 1211 1218 1384 1624 2076 2422 2436 3633 4152 4844 4872 5017 7266 9688 10034 14532 15051 20068 29064 30102 35119 40136 60204 70238 105357 120408 140476 210714 237767 280952 421428 475534 713301 842856 951068 1426602 1664369 1902136 2853204 3328738 4993107 5706408 6657476 6895243 9986214 13314952 13790486 19972428 20685729 27580972 39944856 41133691 41371458 48266701 55161944 82267382 82742916 96533402 123401073 144800103 164534764 165485832 193066804 246802146 287935837 289600206 329069528 386133608 493604292 575871674 579200412 863807511 987208584 1151743348 1158400824 1192877039 1727615022 2303486696 2385754078 3455230044 3578631117 4771508156 6910460088 7157262234 8350139273 9543016312 14314524468 16700278546 25050417819 28629048936 33400557092 50100835638 66801114184 100201671276 200403342552