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230451540 = 223511379437
BaseRepresentation
bin11011011110001…
…10100101010100
3121001122011002020
431233012211110
5432443422130
634511213140
75465543244
oct1557064524
9531564066
10230451540
111090a1720
12652171b0
1338989977
142286bb24
1515371e10
hexdbc6954

230451540 has 96 divisors (see below), whose sum is σ = 723026304. Its totient is φ = 54351360.

The previous prime is 230451539. The next prime is 230451563. The reversal of 230451540 is 45154032.

It is a self number, because there is not a number n which added to its sum of digits gives 230451540.

It is a congruent number.

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, 19702 + ... + 29138.

It is an arithmetic number, because the mean of its divisors is an integer number (7531524).

Almost surely, 2230451540 is an apocalyptic number.

230451540 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 230451540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361513152).

230451540 is an abundant number, since it is smaller than the sum of its proper divisors (492574764).

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

230451540 is a wasteful number, since it uses less digits than its factorization.

230451540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 230451540 is about 15180.6304216920. The cubic root of 230451540 is about 613.0932549929.

The spelling of 230451540 in words is "two hundred thirty million, four hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 9437 12210 18874 24420 28311 37748 47185 56622 94370 103807 113244 141555 188740 207614 283110 311421 349169 415228 519035 566220 622842 698338 1038070 1047507 1245684 1396676 1557105 1745845 2076140 2095014 3114210 3491690 3840859 4190028 5237535 6228420 6983380 7681718 10475070 11522577 15363436 19204295 20950140 23045154 38408590 46090308 57612885 76817180 115225770 230451540