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200451141 = 321122353151
BaseRepresentation
bin10111111001010…
…10010001000101
3111222011222021100
423330222101011
5402303414031
631520210313
74652543442
oct1374522105
9458158240
10200451141
11a3170a00
1257169999
13326b4757
141c89c9c9
15128e7de6
hexbf2a445

200451141 has 72 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 113256000.

The previous prime is 200451127. The next prime is 200451149. The reversal of 200451141 is 141154002.

200451141 is a `hidden beast` number, since 200 + 451 + 14 + 1 = 666.

200451141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200451141 - 26 = 200451077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200451149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1327416 + ... + 1327566.

It is an arithmetic number, because the mean of its divisors is an integer number (4730544).

Almost surely, 2200451141 is an apocalyptic number.

It is an amenable number.

200451141 is a deficient number, since it is larger than the sum of its proper divisors (140148027).

200451141 is a wasteful number, since it uses less digits than its factorization.

200451141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 200451141 is about 14158.0768821193. The cubic root of 200451141 is about 585.2429321962.

The spelling of 200451141 in words is "two hundred million, four hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 23 33 53 69 99 121 151 159 207 253 363 453 477 583 759 1089 1219 1359 1661 1749 2277 2783 3473 3657 4983 5247 6413 8003 8349 10419 10971 13409 14949 18271 19239 24009 25047 31257 38203 40227 54813 57717 72027 88033 114609 120681 147499 164439 184069 264099 343827 420233 442497 552207 792297 968363 1260699 1327491 1656621 2024759 2905089 3782097 6074277 8715267 18222831 22272349 66817047 200451141