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230343520 = 25511294513
BaseRepresentation
bin11011011101011…
…00001101100000
3121001102122220111
431232230031200
5432431443040
634505021104
75464613311
oct1556541540
9531378814
10230343520
11109028550
1265184794
133894c754
1422840608
151534edea
hexdbac360

230343520 has 96 divisors (see below), whose sum is σ = 614265120. Its totient is φ = 80855040.

The previous prime is 230343511. The next prime is 230343541. The reversal of 230343520 is 25343032.

230343520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230343491 and 230343500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48784 + ... + 53296.

It is an arithmetic number, because the mean of its divisors is an integer number (6398595).

Almost surely, 2230343520 is an apocalyptic number.

230343520 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 230343520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307132560).

230343520 is an abundant number, since it is smaller than the sum of its proper divisors (383921600).

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

230343520 is a wasteful number, since it uses less digits than its factorization.

230343520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 230343520 is about 15177.0721814189. The cubic root of 230343520 is about 612.9974478895.

Adding to 230343520 its reverse (25343032), we get a palindrome (255686552).

The spelling of 230343520 in words is "two hundred thirty million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4513 4640 5104 6380 9026 10208 12760 18052 22565 25520 36104 45130 49643 51040 72208 90260 99286 130877 144416 180520 198572 248215 261754 361040 397144 496430 523508 654385 722080 794288 992860 1047016 1308770 1439647 1588576 1985720 2094032 2617540 2879294 3971440 4188064 5235080 5758588 7198235 7942880 10470160 11517176 14396470 20940320 23034352 28792940 46068704 57585880 115171760 230343520