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230319453 = 37213273127
BaseRepresentation
bin11011011101001…
…10010101011101
3121001101102220010
431232212111131
5432430210303
634504313433
75464453200
oct1556462535
9531342803
10230319453
11109011461
1265172879
1338941800
1422835937
1515347c03
hexdba655d

230319453 has 72 divisors (see below), whose sum is σ = 395209728. Its totient is φ = 118879488.

The previous prime is 230319431. The next prime is 230319497. The reversal of 230319453 is 354913032.

230319453 is a nontrivial binomial coefficient, being equal to C(21463, 2).

It is not a de Polignac number, because 230319453 - 213 = 230311261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230319453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230319253) 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 71 ways as a sum of consecutive naturals, for example, 1813476 + ... + 1813602.

It is an arithmetic number, because the mean of its divisors is an integer number (5489024).

Almost surely, 2230319453 is an apocalyptic number.

230319453 is the 21462-nd triangular number.

It is an amenable number.

230319453 is a deficient number, since it is larger than the sum of its proper divisors (164890275).

230319453 is a wasteful number, since it uses less digits than its factorization.

230319453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 230319453 is about 15176.2792870980. The cubic root of 230319453 is about 612.9760978592.

The spelling of 230319453 in words is "two hundred thirty million, three hundred nineteen thousand, four hundred fifty-three".

Divisors: 1 3 7 13 21 39 49 73 91 127 147 169 219 273 381 507 511 637 889 949 1183 1533 1651 1911 2667 2847 3549 3577 4953 6223 6643 8281 9271 10731 11557 12337 18669 19929 21463 24843 27813 34671 37011 46501 64389 64897 80899 86359 120523 139503 150241 194691 242697 259077 361569 450723 454279 604513 843661 1051687 1362837 1566799 1813539 2530983 3155061 4700397 5905627 10967593 17716881 32902779 76773151 230319453