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200201442 = 237192941211
BaseRepresentation
bin10111110111011…
…01010011100010
3111221201021202020
423323231103202
5402222421232
631511002310
74650453450
oct1373552342
9457637666
10200201442
11a3010341
1257069396
1332627bbc
141c8359d0
1512898e2c
hexbeed4e2

200201442 has 128 divisors (see below), whose sum is σ = 512870400. Its totient is φ = 50803200.

The previous prime is 200201389. The next prime is 200201459. The reversal of 200201442 is 244102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948717 + ... + 948927.

It is an arithmetic number, because the mean of its divisors is an integer number (4006800).

Almost surely, 2200201442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256435200).

200201442 is an abundant number, since it is smaller than the sum of its proper divisors (312668958).

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

200201442 is a wasteful number, since it uses less digits than its factorization.

200201442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 200201442 is about 14149.2558814943. The cubic root of 200201442 is about 584.9998217546. Note that the first 3 decimals are identical.

Adding to 200201442 its reverse (244102002), we get a palindrome (444303444).

The spelling of 200201442 in words is "two hundred million, two hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 41 42 57 58 82 87 114 123 133 174 203 211 246 266 287 399 406 422 551 574 609 633 779 798 861 1102 1189 1218 1266 1477 1558 1653 1722 2337 2378 2954 3306 3567 3857 4009 4431 4674 5453 6119 7134 7714 8018 8323 8651 8862 10906 11571 12027 12238 16359 16646 17302 18357 22591 23142 24054 24969 25953 28063 32718 36714 42833 45182 49938 51906 56126 60557 67773 84189 85666 116261 121114 128499 135546 158137 164369 168378 181671 232522 250879 256998 316274 328738 348783 363342 474411 493107 501758 697566 752637 813827 948822 986214 1150583 1505274 1627654 1756153 2301166 2441481 3451749 3512306 4766701 4882962 5268459 6903498 9533402 10536918 14300103 28600206 33366907 66733814 100100721 200201442