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230001057 = 321113259233
BaseRepresentation
bin11011011010110…
…00100110100001
3121000210021010200
431231120212201
5432340013212
634453415413
75461656006
oct1555304641
9530707120
10230001057
11108914220
126503a569
133885c900
14227918ad
15152d36dc
hexdb589a1

230001057 has 72 divisors (see below), whose sum is σ = 400813920. Its totient is φ = 125948160.

The previous prime is 230001053. The next prime is 230001067. The reversal of 230001057 is 750100032.

230001057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230001057 - 22 = 230001053 is a prime.

It is a super-2 number, since 2×2300010572 = 105800972442234498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230001053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 987013 + ... + 987245.

It is an arithmetic number, because the mean of its divisors is an integer number (5566860).

Almost surely, 2230001057 is an apocalyptic number.

It is an amenable number.

230001057 is a deficient number, since it is larger than the sum of its proper divisors (170812863).

230001057 is a wasteful number, since it uses less digits than its factorization.

230001057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 230001057 is about 15165.7857363211. The cubic root of 230001057 is about 612.6935060954.

Adding to 230001057 its reverse (750100032), we get a palindrome (980101089).

The spelling of 230001057 in words is "two hundred thirty million, one thousand, fifty-seven".

Divisors: 1 3 9 11 13 33 39 59 99 117 143 169 177 233 429 507 531 649 699 767 1287 1521 1859 1947 2097 2301 2563 3029 5577 5841 6903 7689 8437 9087 9971 13747 16731 23067 25311 27261 29913 33319 39377 41241 75933 89739 99957 109681 118131 123723 151217 178711 299871 329043 354393 433147 453651 536133 987129 1299441 1360953 1608399 1965821 2323243 3898323 5897463 6969729 17692389 20909187 25555673 76667019 230001057