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200114442 = 233112911617
BaseRepresentation
bin10111110110110…
…00000100001010
3111221112212102000
423323120010022
5402212130232
631505051430
74646642013
oct1373300412
9457485360
10200114442
11a2a60a40
1257026b76
13325c7418
141c81200a
151287d27c
hexbed810a

200114442 has 64 divisors (see below), whose sum is σ = 501897600. Its totient is φ = 58544640.

The previous prime is 200114417. The next prime is 200114443. The reversal of 200114442 is 244411002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200114443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11418 + ... + 23034.

It is an arithmetic number, because the mean of its divisors is an integer number (7842150).

Almost surely, 2200114442 is an apocalyptic number.

200114442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200114442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250948800).

200114442 is an abundant number, since it is smaller than the sum of its proper divisors (301783158).

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

200114442 is a wasteful number, since it uses less digits than its factorization.

200114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200114442 is about 14146.1811807993. The cubic root of 200114442 is about 584.9150698532.

Adding to 200114442 its reverse (244411002), we get a palindrome (444525444).

The spelling of 200114442 in words is "two hundred million, one hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 5742 8613 11617 17226 23234 34851 69702 104553 127787 209106 255574 313659 336893 383361 627318 673786 766722 1010679 1150083 2021358 2300166 3032037 3450249 3705823 6064074 6900498 7411646 9096111 11117469 18192222 22234938 33352407 66704814 100057221 200114442