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230363400 = 233522316693
BaseRepresentation
bin11011011101100…
…01000100001000
3121001110200011210
431232301010020
5432433112100
634505253120
75465025261
oct1556610410
9531420153
10230363400
11109041483
12651941a0
1338958807
1422847968
1515355c50
hexdbb1108

230363400 has 96 divisors (see below), whose sum is σ = 745220160. Its totient is φ = 58755840.

The previous prime is 230363363. The next prime is 230363411. The reversal of 230363400 is 4363032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5454 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (7762710).

Almost surely, 2230363400 is an apocalyptic number.

230363400 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 230363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372610080).

230363400 is an abundant number, since it is smaller than the sum of its proper divisors (514856760).

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

230363400 is a wasteful number, since it uses less digits than its factorization.

230363400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16735 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 230363400 is about 15177.7271025671. The cubic root of 230363400 is about 613.0150824768.

It can be divided in two parts, 2303 and 63400, that added together give a triangular number (65703 = T362).

The spelling of 230363400 in words is "two hundred thirty million, three hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 16693 33386 50079 66772 83465 100158 133544 166930 200316 250395 333860 383939 400632 417325 500790 667720 767878 834650 1001580 1151817 1251975 1535756 1669300 1919695 2003160 2303634 2503950 3071512 3338600 3839390 4607268 5007900 5759085 7678780 9214536 9598475 10015800 11518170 15357560 19196950 23036340 28795425 38393900 46072680 57590850 76787800 115181700 230363400