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232303320 = 233251275081
BaseRepresentation
bin11011101100010…
…10101011011000
3121012010020020200
431312022223120
5433432201240
635015022200
75520355104
oct1566125330
9535106220
10232303320
1110a146a17
126596a960
13391877b2
1422bd0904
15155da930
hexdd8aad8

232303320 has 96 divisors (see below), whose sum is σ = 761080320. Its totient is φ = 61447680.

The previous prime is 232303273. The next prime is 232303361. The reversal of 232303320 is 23303232.

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 = 232303293 and 232303302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43180 + ... + 48260.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2232303320 is an apocalyptic number.

232303320 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 232303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380540160).

232303320 is an abundant number, since it is smaller than the sum of its proper divisors (528777000).

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

232303320 is a wasteful number, since it uses less digits than its factorization.

232303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 232303320 is about 15241.4999261884. The cubic root of 232303320 is about 614.7310344792.

232303320 divided by its sum of digits (18) gives a triangular number (12905740 = T5080).

Adding to 232303320 its reverse (23303232), we get a palindrome (255606552).

The spelling of 232303320 in words is "two hundred thirty-two million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5081 5715 7620 9144 10162 11430 15240 15243 20324 22860 25405 30486 40648 45720 45729 50810 60972 76215 91458 101620 121944 152430 182916 203240 228645 304860 365832 457290 609720 645287 914580 1290574 1829160 1935861 2581148 3226435 3871722 5162296 5807583 6452870 7743444 9679305 11615166 12905740 15486888 19358610 23230332 25811480 29037915 38717220 46460664 58075830 77434440 116151660 232303320