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230145054 = 233141103293
BaseRepresentation
bin11011011011110…
…11110000011110
3121001001120122220
431231323300132
5432404120204
634500450210
75463125556
oct1555736036
9531046586
10230145054
11108a02427
12650a9966
13388b0309
14227cc166
15153111d9
hexdb7bc1e

230145054 has 64 divisors (see below), whose sum is σ = 493129728. Its totient is φ = 71481600.

The previous prime is 230145049. The next prime is 230145059. The reversal of 230145054 is 450541032.

230145054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230145049) and next prime (230145059).

It is a super-3 number, since 3×2301450543 (a number of 26 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230145059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785332 + ... + 785624.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2230145054 is an apocalyptic number.

230145054 is an abundant number, since it is smaller than the sum of its proper divisors (262984674).

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

230145054 is a wasteful number, since it uses less digits than its factorization.

230145054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 230145054 is about 15170.5324230892. The cubic root of 230145054 is about 612.8213426402.

Adding to 230145054 its reverse (450541032), we get a palindrome (680686086).

The spelling of 230145054 in words is "two hundred thirty million, one hundred forty-five thousand, fifty-four".

Divisors: 1 2 3 6 31 41 62 82 93 103 123 186 206 246 293 309 586 618 879 1271 1758 2542 3193 3813 4223 6386 7626 8446 9083 9579 12013 12669 18166 19158 24026 25338 27249 30179 36039 54498 60358 72078 90537 130913 181074 261826 372403 392739 744806 785478 935549 1117209 1237339 1871098 2234418 2474678 2806647 3712017 5613294 7424034 38357509 76715018 115072527 230145054