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231838272 = 2632419817
BaseRepresentation
bin11011101000110…
…01001001000000
3121011020121022200
431310121021000
5433322311042
635001033200
75513410221
oct1564311100
9534217280
10231838272
11109959586
1265785800
1339053c13
1422b0d248
1515547c4c
hexdd19240

231838272 has 84 divisors (see below), whose sum is σ = 680799756. Its totient is φ = 75386880.

The previous prime is 231838253. The next prime is 231838273. The reversal of 231838272 is 272838132.

It is a happy number.

231838272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132158016 + 99680256 = 11496^2 + 9984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (231838273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18708 + ... + 28524.

It is an arithmetic number, because the mean of its divisors is an integer number (8104759).

Almost surely, 2231838272 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 231838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340399878).

231838272 is an abundant number, since it is smaller than the sum of its proper divisors (448961484).

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

231838272 is a wasteful number, since it uses less digits than its factorization.

231838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9876 (or 9863 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 231838272 is about 15226.2363044844. The cubic root of 231838272 is about 614.3205504363.

The spelling of 231838272 in words is "two hundred thirty-one million, eight hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 9817 11808 19634 23616 29451 39268 58902 78536 88353 117804 157072 176706 235608 314144 353412 402497 471216 628288 706824 804994 942432 1207491 1413648 1609988 1884864 2414982 2827296 3219976 3622473 4829964 5654592 6439952 7244946 9659928 12879904 14489892 19319856 25759808 28979784 38639712 57959568 77279424 115919136 231838272