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231993828 = 223311195281
BaseRepresentation
bin11011101001111…
…11000111100100
3121011112111201000
431310333013210
5433342300303
635004233300
75514625563
oct1564770744
9534474630
10231993828
11109a55440
126583b830
13390a9971
1422b4dbda
1515578da3
hexdd3f1e4

231993828 has 48 divisors (see below), whose sum is σ = 656147520. Its totient is φ = 70300800.

The previous prime is 231993793. The next prime is 231993829. The reversal of 231993828 is 828399132.

It is a super-2 number, since 2×2319938282 = 107642272460187168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231993829) 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 15 ways as a sum of consecutive naturals, for example, 96453 + ... + 98828.

It is an arithmetic number, because the mean of its divisors is an integer number (13669740).

Almost surely, 2231993828 is an apocalyptic number.

It is an amenable number.

231993828 is an abundant number, since it is smaller than the sum of its proper divisors (424153692).

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

231993828 is a wasteful number, since it uses less digits than its factorization.

231993828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195305 (or 195297 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 231993828 is about 15231.3436045544. The cubic root of 231993828 is about 614.4579161407.

The spelling of 231993828 in words is "two hundred thirty-one million, nine hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 195281 390562 585843 781124 1171686 1757529 2148091 2343372 3515058 4296182 5272587 6444273 7030116 8592364 10545174 12888546 19332819 21090348 25777092 38665638 57998457 77331276 115996914 231993828