Search a number
-
+
232202112 = 2732361431
BaseRepresentation
bin11011101011100…
…01111110000000
3121011221002102020
431311301332000
5433420431422
635012521440
75516454042
oct1565617600
9534832366
10232202112
1110a08797a
1265920280
13391506cc
1422ba5a92
15155ba95c
hexdd71f80

232202112 has 128 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 72652800.

The previous prime is 232202083. The next prime is 232202119. The reversal of 232202112 is 211202232.

It is a happy number.

232202112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 232202091 and 232202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232202119) 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, 538537 + ... + 538967.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2232202112 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 232202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

232202112 is an abundant number, since it is smaller than the sum of its proper divisors (423470208).

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

232202112 is a wasteful number, since it uses less digits than its factorization.

232202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232202112 is about 15238.1794188151. The cubic root of 232202112 is about 614.6417478575.

Adding to 232202112 its reverse (211202232), we get a palindrome (443404344).

The spelling of 232202112 in words is "two hundred thirty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 276 366 368 384 431 488 552 732 736 862 976 1104 1293 1403 1464 1472 1724 1952 2208 2586 2806 2928 2944 3448 3904 4209 4416 5172 5612 5856 6896 7808 8418 8832 9913 10344 11224 11712 13792 16836 19826 20688 22448 23424 26291 27584 29739 33672 39652 41376 44896 52582 55168 59478 67344 78873 79304 82752 89792 105164 118956 134688 157746 158608 165504 179584 210328 237912 269376 315492 317216 420656 475824 538752 604693 630984 634432 841312 951648 1209386 1261968 1268864 1682624 1814079 1903296 2418772 2523936 3365248 3628158 3806592 4837544 5047872 7256316 9675088 10095744 14512632 19350176 29025264 38700352 58050528 77400704 116101056 232202112