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230574540 = 223572323869
BaseRepresentation
bin11011011111001…
…00100111001100
3121001212101210210
431233210213030
5433011341130
634514002420
75466564660
oct1557444714
9531771723
10230574540
11109176079
1265276410
1338a00951
14228a08a0
15153985b0
hexdbe49cc

230574540 has 96 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 50409216.

The previous prime is 230574503. The next prime is 230574551. The reversal of 230574540 is 45475032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230574498 and 230574507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2275 + ... + 21594.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2230574540 is an apocalyptic number.

230574540 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 230574540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

230574540 is an abundant number, since it is smaller than the sum of its proper divisors (539376180).

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

230574540 is a wasteful number, since it uses less digits than its factorization.

230574540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23911 (or 23909 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 230574540 is about 15184.6810964208. The cubic root of 230574540 is about 613.2023119888.

The spelling of 230574540 in words is "two hundred thirty million, five hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 23869 47738 71607 95476 119345 143214 167083 238690 286428 334166 358035 477380 501249 548987 668332 716070 835415 1002498 1097974 1432140 1646961 1670830 2004996 2195948 2506245 2744935 3293922 3341660 3842909 5012490 5489870 6587844 7685818 8234805 10024980 10979740 11528727 15371636 16469610 19214545 23057454 32939220 38429090 46114908 57643635 76858180 115287270 230574540