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230243202 = 23372371373
BaseRepresentation
bin11011011100100…
…11101110000010
3121001020120022000
431232103232002
5432420240302
634502524430
75464014660
oct1556235602
9531216260
10230243202
11108a6a142
1265136716
1338915ba7
1422815c30
151533031c
hexdb93b82

230243202 has 128 divisors (see below), whose sum is σ = 620421120. Its totient is φ = 61871040.

The previous prime is 230243201. The next prime is 230243227. The reversal of 230243202 is 202342032.

230243202 is a `hidden beast` number, since 230 + 2 + 432 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230243201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617088 + ... + 617460.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2230243202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230243202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

230243202 is an abundant number, since it is smaller than the sum of its proper divisors (390177918).

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

230243202 is a wasteful number, since it uses less digits than its factorization.

230243202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230243202 is about 15173.7669021242. The cubic root of 230243202 is about 612.9084451580.

Adding to 230243202 its reverse (202342032), we get a palindrome (432585234).

The spelling of 230243202 in words is "two hundred thirty million, two hundred forty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 71 126 138 142 161 189 207 213 322 373 378 414 426 483 497 621 639 746 966 994 1119 1242 1278 1449 1491 1633 1917 2238 2611 2898 2982 3266 3357 3834 4347 4473 4899 5222 6714 7833 8579 8694 8946 9798 10071 11431 13419 14697 15666 17158 20142 22862 23499 25737 26483 26838 29394 34293 44091 46998 51474 52966 60053 68586 70497 77211 79449 88182 102879 120106 140994 154422 158898 180159 185381 205758 231633 238347 308637 360318 370762 463266 476694 540477 556143 609109 617274 715041 1080954 1112286 1218218 1430082 1621431 1668429 1827327 3242862 3336858 3654654 4263763 5005287 5481981 8527526 10010574 10963962 12791289 16445943 25582578 32891886 38373867 76747734 115121601 230243202