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200124144 = 243211126341
BaseRepresentation
bin10111110110110…
…10011011110000
3111221120100201100
423323122123300
5402212433034
631505204400
74650012213
oct1373323360
9457510640
10200124144
11a2a68260
1257030700
13325cb96c
141c81577a
1512881099
hexbeda6f0

200124144 has 60 divisors (see below), whose sum is σ = 610989912. Its totient is φ = 60643200.

The previous prime is 200124137. The next prime is 200124161. The reversal of 200124144 is 441421002.

It is a super-3 number, since 3×2001241443 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 61587 + ... + 64754.

Almost surely, 2200124144 is an apocalyptic number.

200124144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200124144 is an abundant number, since it is smaller than the sum of its proper divisors (410865768).

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

200124144 is a wasteful number, since it uses less digits than its factorization.

200124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126366 (or 126357 counting only the distinct ones).

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

The square root of 200124144 is about 14146.5240960456. The cubic root of 200124144 is about 584.9245223682.

Adding to 200124144 its reverse (441421002), we get a palindrome (641545146).

The spelling of 200124144 in words is "two hundred million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 126341 252682 379023 505364 758046 1010728 1137069 1389751 1516092 2021456 2274138 2779502 3032184 4169253 4548276 5559004 6064368 8338506 9096552 11118008 12507759 16677012 18193104 22236016 25015518 33354024 50031036 66708048 100062072 200124144