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450072231 = 37831491733
BaseRepresentation
bin11010110100111…
…000111010100111
31011100220001000220
4122310320322213
51410204302411
6112354335423
714103356640
oct3264707247
91140801026
10450072231
11211065a24
1210688a573
137232383b
1443aba6c7
15297a4b06
hex1ad38ea7

450072231 has 32 divisors (see below), whose sum is σ = 699148800. Its totient is φ = 252234624.

The previous prime is 450072223. The next prime is 450072253. The reversal of 450072231 is 132270054.

It is not a de Polignac number, because 450072231 - 23 = 450072223 is a prime.

It is a super-2 number, since 2×4500722312 = 405130026234634722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450071231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 258841 + ... + 260573.

It is an arithmetic number, because the mean of its divisors is an integer number (21848400).

Almost surely, 2450072231 is an apocalyptic number.

450072231 is a deficient number, since it is larger than the sum of its proper divisors (249076569).

450072231 is a wasteful number, since it uses less digits than its factorization.

450072231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 450072231 is about 21214.9058682804. The cubic root of 450072231 is about 766.3504311605.

The spelling of 450072231 in words is "four hundred fifty million, seventy-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 83 149 249 447 581 1043 1733 1743 3129 5199 12131 12367 36393 37101 86569 143839 258217 259707 431517 774651 1006873 1807519 3020619 5422557 21432011 64296033 150024077 450072231