Search a number
-
+
232103424 = 293721587
BaseRepresentation
bin11011101010110…
…01111000000000
3121011202002001010
431311121320000
5433404302144
635010440520
75515563240
oct1565317000
9534662033
10232103424
1110a01a813
1265893140
1339117807
1422b7bb20
151559b5b9
hexdd59e00

232103424 has 80 divisors (see below), whose sum is σ = 706704768. Its totient is φ = 66312192.

The previous prime is 232103423. The next prime is 232103429. The reversal of 232103424 is 424301232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 232103424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232103423) 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 21545.

Almost surely, 2232103424 is an apocalyptic number.

232103424 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 232103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353352384).

232103424 is an abundant number, since it is smaller than the sum of its proper divisors (474601344).

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

232103424 is an equidigital number, since it uses as much as digits as its factorization.

232103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232103424 is about 15234.9408925667. The cubic root of 232103424 is about 614.5546594159.

Adding to 232103424 its reverse (424301232), we get a palindrome (656404656).

The spelling of 232103424 in words is "two hundred thirty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 21587 43174 64761 86348 129522 151109 172696 259044 302218 345392 453327 518088 604436 690784 906654 1036176 1208872 1381568 1813308 2072352 2417744 2763136 3626616 4144704 4835488 5526272 7253232 8289408 9670976 11052544 14506464 16578816 19341952 29012928 33157632 38683904 58025856 77367808 116051712 232103424