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232020320 = 2557239007
BaseRepresentation
bin11011101010001…
…01100101100000
3121011120212001012
431311011211200
5433344122240
635005000052
75515066040
oct1565054540
9534525035
10232020320
11109a73334
1265853028
13390b8a3c
1422b59720
1515581b65
hexdd45960

232020320 has 96 divisors (see below), whose sum is σ = 653764608. Its totient is φ = 76082688.

The previous prime is 232020317. The next prime is 232020359. The reversal of 232020320 is 23020232.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 232020295 and 232020304.

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 15 ways as a sum of consecutive naturals, for example, 21257 + ... + 30263.

It is an arithmetic number, because the mean of its divisors is an integer number (6810048).

Almost surely, 2232020320 is an apocalyptic number.

232020320 is a gapful number since it is divisible by the number (20) 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 232020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326882304).

232020320 is an abundant number, since it is smaller than the sum of its proper divisors (421744288).

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

232020320 is a wasteful number, since it uses less digits than its factorization.

232020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9044 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 232020320 is about 15232.2132338016. The cubic root of 232020320 is about 614.4813041186.

Adding to 232020320 its reverse (23020232), we get a palindrome (255040552).

The spelling of 232020320 in words is "two hundred thirty-two million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 9007 12880 18014 25760 36028 45035 63049 72056 90070 126098 144112 180140 207161 252196 288224 315245 360280 414322 504392 630490 720560 828644 1008784 1035805 1260980 1441120 1450127 1657288 2017568 2071610 2521960 2900254 3314576 4143220 5043920 5800508 6629152 7250635 8286440 10087840 11601016 14501270 16572880 23202032 29002540 33145760 46404064 58005080 116010160 232020320