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230439480 = 2335107131137
BaseRepresentation
bin11011011110000…
…11101000111000
3121001121112112120
431233003220320
5432443030410
634511041240
75465463135
oct1557035070
9531545476
10230439480
11109093657
1265210220
133898432b
142286758c
151536d570
hexdbc3a38

230439480 has 128 divisors (see below), whose sum is σ = 708238080. Its totient is φ = 59970560.

The previous prime is 230439421. The next prime is 230439487. The reversal of 230439480 is 84934032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230439487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681972 + ... + 1682108.

It is an arithmetic number, because the mean of its divisors is an integer number (5533110).

Almost surely, 2230439480 is an apocalyptic number.

230439480 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 230439480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354119040).

230439480 is an abundant number, since it is smaller than the sum of its proper divisors (477798600).

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

230439480 is a wasteful number, since it uses less digits than its factorization.

230439480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 230439480 is about 15180.2331997898. The cubic root of 230439480 is about 613.0825599988.

It can be divided in two parts, 23043 and 9480, that added together give a palindrome (32523).

The spelling of 230439480 in words is "two hundred thirty million, four hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 131 137 214 262 274 321 393 411 428 524 535 548 642 655 685 786 822 856 1048 1070 1096 1284 1310 1370 1572 1605 1644 1965 2055 2140 2568 2620 2740 3144 3210 3288 3930 4110 4280 5240 5480 6420 7860 8220 12840 14017 14659 15720 16440 17947 28034 29318 35894 42051 43977 53841 56068 58636 70085 71788 73295 84102 87954 89735 107682 112136 117272 140170 143576 146590 168204 175908 179470 210255 215364 219885 269205 280340 293180 336408 351816 358940 420510 430728 439770 538410 560680 586360 717880 841020 879540 1076820 1682040 1759080 1920329 2153640 3840658 5760987 7681316 9601645 11521974 15362632 19203290 23043948 28804935 38406580 46087896 57609870 76813160 115219740 230439480