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200025144 = 233211318147
BaseRepresentation
bin10111110110000…
…10010000111000
3111221101022220200
423323002100320
5402201301034
631503122200
74646120454
oct1373022070
9457338820
10200025144
11a29aa940
1256ba3360
1332595897
141c7cb664
1512861a99
hexbec2438

200025144 has 96 divisors (see below), whose sum is σ = 610122240. Its totient is φ = 58651200.

The previous prime is 200025143. The next prime is 200025157. The reversal of 200025144 is 441520002.

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 (200025143) 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 23 ways as a sum of consecutive naturals, for example, 20479 + ... + 28625.

It is an arithmetic number, because the mean of its divisors is an integer number (6355440).

Almost surely, 2200025144 is an apocalyptic number.

200025144 is a gapful number since it is divisible by the number (24) 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 200025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305061120).

200025144 is an abundant number, since it is smaller than the sum of its proper divisors (410097096).

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

200025144 is a wasteful number, since it uses less digits than its factorization.

200025144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 200025144 is about 14143.0245704375. The cubic root of 200025144 is about 584.8280537830.

Adding to 200025144 its reverse (441520002), we get a palindrome (641545146).

The spelling of 200025144 in words is "two hundred million, twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8147 8184 12276 16294 24441 24552 32588 48882 65176 73323 89617 97764 146646 179234 195528 252557 268851 293292 358468 505114 537702 586584 716936 757671 806553 1010228 1075404 1515342 1613106 2020456 2150808 2273013 2778127 3030684 3226212 4546026 5556254 6061368 6452424 8334381 9092052 11112508 16668762 18184104 22225016 25003143 33337524 50006286 66675048 100012572 200025144