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230143452 = 223711222643
BaseRepresentation
bin11011011011110…
…11010111011100
3121001001111110120
431231323113130
5432404042302
634500434540
75463121110
oct1555732734
9531044416
10230143452
11108a01200
12650a8a50
13388ac676
14227cb740
15153109bc
hexdb7b5dc

230143452 has 72 divisors (see below), whose sum is σ = 674610048. Its totient is φ = 59774880.

The previous prime is 230143427. The next prime is 230143453. The reversal of 230143452 is 254341032.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230143453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1158 + ... + 21485.

It is an arithmetic number, because the mean of its divisors is an integer number (9369584).

Almost surely, 2230143452 is an apocalyptic number.

230143452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230143452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337305024).

230143452 is an abundant number, since it is smaller than the sum of its proper divisors (444466596).

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

230143452 is a wasteful number, since it uses less digits than its factorization.

230143452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22679 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230143452 is about 15170.4796232683. The cubic root of 230143452 is about 612.8199207223.

Adding to 230143452 its reverse (254341032), we get a palindrome (484484484).

It can be divided in two parts, 2301 and 43452, that added together give a triangular number (45753 = T302).

The spelling of 230143452 in words is "two hundred thirty million, one hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 22643 45286 67929 90572 135858 158501 249073 271716 317002 475503 498146 634004 747219 951006 996292 1494438 1743511 1902012 2739803 2988876 3487022 5230533 5479606 6974044 8219409 10461066 10959212 16438818 19178621 20922132 32877636 38357242 57535863 76714484 115071726 230143452