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231050088 = 23322341283
BaseRepresentation
bin11011100010110…
…00101101101000
3121002202120010200
431301120231220
5433122100323
634532112200
75503615263
oct1561305550
9532676120
10231050088
11109470395
1265465660
1338b39239
1422985cda
151543e443
hexdc58b68

231050088 has 144 divisors (see below), whose sum is σ = 677345760. Its totient is φ = 71005440.

The previous prime is 231050081. The next prime is 231050101. The reversal of 231050088 is 880050132.

It is a happy number.

231050088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231050081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2783695 + ... + 2783777.

It is an arithmetic number, because the mean of its divisors is an integer number (4703790).

Almost surely, 2231050088 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 231050088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338672880).

231050088 is an abundant number, since it is smaller than the sum of its proper divisors (446295672).

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

231050088 is a wasteful number, since it uses less digits than its factorization.

231050088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 231050088 is about 15200.3318384830. The cubic root of 231050088 is about 613.6235884628.

The spelling of 231050088 in words is "two hundred thirty-one million, fifty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 41 46 69 72 82 83 92 123 138 164 166 184 207 246 249 276 328 332 369 414 492 498 552 664 738 747 828 943 984 996 1476 1494 1656 1681 1886 1909 1992 2829 2952 2988 3362 3403 3772 3818 5043 5658 5727 5976 6724 6806 7544 7636 8487 10086 10209 11316 11454 13448 13612 15129 15272 16974 17181 20172 20418 22632 22908 27224 30258 30627 33948 34362 38663 40344 40836 45816 60516 61254 67896 68724 77326 78269 81672 115989 121032 122508 137448 139523 154652 156538 231978 234807 245016 279046 309304 313076 347967 418569 463956 469614 558092 626152 695934 704421 837138 927912 939228 1116184 1255707 1391868 1408842 1674276 1878456 2511414 2783736 2817684 3209029 3348552 5022828 5635368 6418058 9627087 10045656 12836116 19254174 25672232 28881261 38508348 57762522 77016696 115525044 231050088