Search a number
-
+
231200232 = 233233159229
BaseRepresentation
bin11011100011111…
…01010111101000
3121010001012002120
431301331113220
5433141401412
634535231240
75505112104
oct1561752750
9533035076
10231200232
1110956317a
1265518520
1338b8c693
14229c4904
151546db8c
hexdc7d5e8

231200232 has 128 divisors (see below), whose sum is σ = 635904000. Its totient is φ = 69822720.

The previous prime is 231200231. The next prime is 231200243. The reversal of 231200232 is 232002132.

It is not an unprimeable number, because it can be changed into a prime (231200231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009494 + ... + 1009722.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2231200232 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 231200232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317952000).

231200232 is an abundant number, since it is smaller than the sum of its proper divisors (404703768).

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

231200232 is a wasteful number, since it uses less digits than its factorization.

231200232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 231200232 is about 15205.2698759345. The cubic root of 231200232 is about 613.7564773258.

Adding to 231200232 its reverse (232002132), we get a palindrome (463202364).

The spelling of 231200232 in words is "two hundred thirty-one million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 59 62 69 92 93 118 124 138 177 184 186 229 236 248 276 354 372 458 472 552 687 708 713 744 916 1357 1374 1416 1426 1829 1832 2139 2714 2748 2852 3658 4071 4278 5267 5428 5487 5496 5704 7099 7316 8142 8556 10534 10856 10974 13511 14198 14632 15801 16284 17112 21068 21297 21948 27022 28396 31602 32568 40533 42067 42136 42594 43896 54044 56792 63204 81066 84134 85188 108088 126201 126408 162132 163277 168268 170376 252402 310753 324264 326554 336536 418841 489831 504804 621506 653108 837682 932259 979662 1009608 1243012 1256523 1306216 1675364 1864518 1959324 2486024 2513046 3350728 3729036 3918648 5026092 7458072 9633343 10052184 19266686 28900029 38533372 57800058 77066744 115600116 231200232