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230413623 = 31173101947
BaseRepresentation
bin11011011101111…
…01010100110111
3121001120020001220
431232331110313
5432441213443
634510321423
75465324556
oct1556752467
9531506056
10230413623
11109076190
12651b9273
133897562b
142285bd9d
1515365a83
hexdbbd537

230413623 has 32 divisors (see below), whose sum is σ = 343464192. Its totient is φ = 136224000.

The previous prime is 230413621. The next prime is 230413637. The reversal of 230413623 is 326314032.

It is not a de Polignac number, because 230413623 - 21 = 230413621 is a prime.

It is a super-2 number, since 2×2304136232 = 106180875327972258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230413593 and 230413602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230413621) 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 31 ways as a sum of consecutive naturals, for example, 242836 + ... + 243782.

It is an arithmetic number, because the mean of its divisors is an integer number (10733256).

Almost surely, 2230413623 is an apocalyptic number.

230413623 is a deficient number, since it is larger than the sum of its proper divisors (113050569).

230413623 is a wasteful number, since it uses less digits than its factorization.

230413623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 230413623 is about 15179.3815091393. The cubic root of 230413623 is about 613.0596283543.

Adding to 230413623 its reverse (326314032), we get a palindrome (556727655).

The spelling of 230413623 in words is "two hundred thirty million, four hundred thirteen thousand, six hundred twenty-three".

Divisors: 1 3 11 33 73 101 219 303 803 947 1111 2409 2841 3333 7373 10417 22119 31251 69131 81103 95647 207393 243309 286941 760441 1052117 2281323 3156351 6982231 20946693 76804541 230413623