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230411720 = 235721110687
BaseRepresentation
bin11011011101111…
…00110111001000
3121001120010110102
431232330313020
5432441133340
634510304532
75465316200
oct1556746710
9531503412
10230411720
11109074810
12651b8148
13389747c6
142285b400
1515365215
hexdbbcdc8

230411720 has 96 divisors (see below), whose sum is σ = 657953280. Its totient is φ = 71809920.

The previous prime is 230411717. The next prime is 230411743. The reversal of 230411720 is 27114032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230411692 and 230411701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16217 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (6853680).

Almost surely, 2230411720 is an apocalyptic number.

230411720 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 230411720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328976640).

230411720 is an abundant number, since it is smaller than the sum of its proper divisors (427541560).

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

230411720 is a wasteful number, since it uses less digits than its factorization.

230411720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 230411720 is about 15179.3188252965. The cubic root of 230411720 is about 613.0579405841.

Adding to 230411720 its reverse (27114032), we get a palindrome (257525752).

The spelling of 230411720 in words is "two hundred thirty million, four hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10687 10780 21374 21560 42748 53435 74809 85496 106870 117557 149618 213740 235114 299236 374045 427480 470228 523663 587785 598472 748090 822899 940456 1047326 1175570 1496180 1645798 2094652 2351140 2618315 2992360 3291596 4114495 4189304 4702280 5236630 5760293 6583192 8228990 10473260 11520586 16457980 20946520 23041172 28801465 32915960 46082344 57602930 115205860 230411720