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230783772 = 223171915923
BaseRepresentation
bin11011100000101…
…11101100011100
3121002021000211010
431300113230130
5433040040042
634522255220
75501425662
oct1560275434
9532230733
10230783772
111092a929a
1265357510
1338a74c5b
1422916c32
15153da59c
hexdc17b1c

230783772 has 48 divisors (see below), whose sum is σ = 573253632. Its totient is φ = 72011520.

The previous prime is 230783767. The next prime is 230783779. The reversal of 230783772 is 277387032.

It is a super-2 number, since 2×2307837722 = 106522298837095968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230783772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230783779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36003 + ... + 41925.

It is an arithmetic number, because the mean of its divisors is an integer number (11942784).

Almost surely, 2230783772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230783772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286626816).

230783772 is an abundant number, since it is smaller than the sum of its proper divisors (342469860).

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

230783772 is a wasteful number, since it uses less digits than its factorization.

230783772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 230783772 is about 15191.5691092132. The cubic root of 230783772 is about 613.3877368514.

The spelling of 230783772 in words is "two hundred thirty million, seven hundred eighty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 191 204 382 573 764 1146 2292 3247 5923 6494 9741 11846 12988 17769 19482 23692 35538 38964 71076 100691 201382 302073 402764 604146 1131293 1208292 2262586 3393879 4525172 6787758 13575516 19231981 38463962 57695943 76927924 115391886 230783772