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230200440 = 23354913907
BaseRepresentation
bin11011011100010…
…01010001111000
3121001011101122020
431232021101320
5432412403230
634501554440
75463446211
oct1556112170
9531141566
10230200440
11108a3aaa8
1265115a20
13388cc5a2
1422804408
1515322810
hexdb89478

230200440 has 64 divisors (see below), whose sum is σ = 692184960. Its totient is φ = 61246080.

The previous prime is 230200433. The next prime is 230200459. The reversal of 230200440 is 44002032.

It is a happy number.

230200440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56967 + ... + 60873.

It is an arithmetic number, because the mean of its divisors is an integer number (10815390).

Almost surely, 2230200440 is an apocalyptic number.

230200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230200440 is an abundant number, since it is smaller than the sum of its proper divisors (461984520).

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

230200440 is a wasteful number, since it uses less digits than its factorization.

230200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230200440 is about 15172.3577600846. The cubic root of 230200440 is about 612.8704985962.

Adding to 230200440 its reverse (44002032), we get a palindrome (274202472).

The spelling of 230200440 in words is "two hundred thirty million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2455 2946 3907 3928 4910 5892 7365 7814 9820 11721 11784 14730 15628 19535 19640 23442 29460 31256 39070 46884 58605 58920 78140 93768 117210 156280 234420 468840 1918337 3836674 5755011 7673348 9591685 11510022 15346696 19183370 23020044 28775055 38366740 46040088 57550110 76733480 115100220 230200440