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230860240 = 24513474723
BaseRepresentation
bin11011100001010…
…10010111010000
3121002101220201021
431300222113100
5433100011430
634524045224
75502164632
oct1560522720
9532356637
10230860240
11109350796
1265393814
1338aa09c0
1422936a52
151540307a
hexdc2a5d0

230860240 has 80 divisors (see below), whose sum is σ = 590462208. Its totient is φ = 83409408.

The previous prime is 230860229. The next prime is 230860247. The reversal of 230860240 is 42068032.

It is a happy number.

230860240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230860247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46519 + ... + 51241.

Almost surely, 2230860240 is an apocalyptic number.

230860240 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 230860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295231104).

230860240 is an abundant number, since it is smaller than the sum of its proper divisors (359601968).

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

230860240 is a wasteful number, since it uses less digits than its factorization.

230860240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 230860240 is about 15194.0856914788. The cubic root of 230860240 is about 613.4554760942.

The spelling of 230860240 in words is "two hundred thirty million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4723 4888 6110 9446 9776 12220 18892 23615 24440 37784 47230 48880 61399 75568 94460 122798 188920 221981 245596 306995 377840 443962 491192 613990 887924 982384 1109905 1227980 1775848 2219810 2455960 2885753 3551696 4439620 4911920 5771506 8879240 11543012 14428765 17758480 23086024 28857530 46172048 57715060 115430120 230860240