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200915988 = 223713214153
BaseRepresentation
bin10111111100110…
…11110000010100
3112000001120220220
423332123300110
5402413302423
631534154340
74656520620
oct1376336024
9460046826
10200915988
11a3459179
12573529b0
1332818200
141c980180
151298a9e3
hexbf9bc14

200915988 has 72 divisors (see below), whose sum is σ = 580200768. Its totient is φ = 52985088.

The previous prime is 200915983. The next prime is 200915989. The reversal of 200915988 is 889519002.

It is a happy number.

It is a super-2 number, since 2×2009159882 = 80734468468032288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200915983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7120 + ... + 21272.

It is an arithmetic number, because the mean of its divisors is an integer number (8058344).

Almost surely, 2200915988 is an apocalyptic number.

200915988 is a gapful number since it is divisible by the number (28) 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 200915988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290100384).

200915988 is an abundant number, since it is smaller than the sum of its proper divisors (379284780).

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

200915988 is a wasteful number, since it uses less digits than its factorization.

200915988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14193 (or 14178 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 200915988 is about 14174.4836943008. The cubic root of 200915988 is about 585.6949765142.

The spelling of 200915988 in words is "two hundred million, nine hundred fifteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14153 14196 28306 42459 56612 84918 99071 169836 183989 198142 297213 367978 396284 551967 594426 735956 1103934 1188852 1287923 2207868 2391857 2575846 3863769 4783714 5151692 7175571 7727538 9567428 14351142 15455076 16742999 28702284 33485998 50228997 66971996 100457994 200915988