Search a number
-
+
200031444 = 22342961349
BaseRepresentation
bin10111110110000…
…11110011010100
3111221101122120000
423323003303110
5402202001234
631503211300
74646145024
oct1373036324
9457348500
10200031444
11a2a04648
1256ba6b30
1332598702
141c7cda84
1512863899
hexbec3cd4

200031444 has 120 divisors (see below), whose sum is σ = 551397000. Its totient is φ = 63141120.

The previous prime is 200031443. The next prime is 200031451. The reversal of 200031444 is 444130002.

It can be written as a sum of positive squares in 4 ways, for example, as 9922500 + 190108944 = 3150^2 + 13788^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200031443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572982 + ... + 573330.

It is an arithmetic number, because the mean of its divisors is an integer number (4594975).

Almost surely, 2200031444 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 200031444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275698500).

200031444 is an abundant number, since it is smaller than the sum of its proper divisors (351365556).

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

200031444 is a wasteful number, since it uses less digits than its factorization.

200031444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200031444 is about 14143.2472933199. The cubic root of 200031444 is about 584.8341936412.

Adding to 200031444 its reverse (444130002), we get a palindrome (644161446).

The spelling of 200031444 in words is "two hundred million, thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 81 87 108 116 122 162 174 183 244 261 324 348 349 366 522 549 698 732 783 1044 1047 1098 1396 1566 1647 1769 2094 2196 2349 3132 3141 3294 3538 4188 4698 4941 5307 6282 6588 7076 9396 9423 9882 10121 10614 12564 15921 18846 19764 20242 21228 21289 28269 30363 31842 37692 40484 42578 47763 56538 60726 63684 63867 85156 91089 95526 113076 121452 127734 143289 182178 191052 191601 255468 273267 286578 364356 383202 546534 573156 574803 617381 766404 819801 1093068 1149606 1234762 1639602 1724409 1852143 2299212 2469524 3279204 3448818 3704286 5556429 6897636 7408572 11112858 16669287 22225716 33338574 50007861 66677148 100015722 200031444