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200273016 = 23343474129
BaseRepresentation
bin10111110111111…
…10110001111000
3111221211220221010
423323332301320
5402232214031
631512313520
74651202226
oct1373766170
9457756833
10200273016
11a305a099
12570a28a0
1332651658
141c853b16
15128b0246
hexbefec78

200273016 has 64 divisors (see below), whose sum is σ = 523353600. Its totient is φ = 63802368.

The previous prime is 200273009. The next prime is 200273071. The reversal of 200273016 is 610372002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200272983 and 200273001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46440 + ... + 50568.

It is an arithmetic number, because the mean of its divisors is an integer number (8177400).

Almost surely, 2200273016 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 200273016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261676800).

200273016 is an abundant number, since it is smaller than the sum of its proper divisors (323080584).

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

200273016 is a wasteful number, since it uses less digits than its factorization.

200273016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 200273016 is about 14151.7849050924. The cubic root of 200273016 is about 585.0695278601.

The spelling of 200273016 in words is "two hundred million, two hundred seventy-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 516 564 1032 1128 2021 4042 4129 6063 8084 8258 12126 12387 16168 16516 24252 24774 33032 48504 49548 99096 177547 194063 355094 388126 532641 582189 710188 776252 1065282 1164378 1420376 1552504 2130564 2328756 4261128 4657512 8344709 16689418 25034127 33378836 50068254 66757672 100136508 200273016