Search a number
-
+
232004124 = 2232113118899
BaseRepresentation
bin11011101010000…
…01101000011100
3121011120000211100
431311001220130
5433343112444
635004353100
75515000602
oct1565015034
9534500740
10232004124
11109a62150
1265845790
13390b1561
1422b53872
151557be69
hexdd41a1c

232004124 has 72 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 68032800.

The previous prime is 232004111. The next prime is 232004153. The reversal of 232004124 is 421400232.

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

It is a junction number, because it is equal to n+sod(n) for n = 232004097 and 232004106.

It is a congruent number.

It is an unprimeable number.

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, 2827 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2232004124 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 232004124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

232004124 is an abundant number, since it is smaller than the sum of its proper divisors (428437476).

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

232004124 is a wasteful number, since it uses less digits than its factorization.

232004124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18951 (or 18946 counting only the distinct ones).

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

The square root of 232004124 is about 15231.6815880585. The cubic root of 232004124 is about 614.4670059876.

Adding to 232004124 its reverse (421400232), we get a palindrome (653404356).

The spelling of 232004124 in words is "two hundred thirty-two million, four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 18899 37798 56697 75596 113394 170091 207889 226788 340182 415778 585869 623667 680364 831556 1171738 1247334 1757607 1871001 2343476 2494668 3515214 3742002 5272821 6444559 7030428 7484004 10545642 12889118 19333677 21091284 25778236 38667354 58001031 77334708 116002062 232004124