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230314504 = 237217219107
BaseRepresentation
bin11011011101001…
…01001000001000
3121001101012002211
431232211020020
5432430031004
634504234504
75464432600
oct1556451010
9531335084
10230314504
11109008772
126516ba34
133893c494
1422833c00
1515346504
hexdba5208

230314504 has 144 divisors (see below), whose sum is σ = 566967600. Its totient is φ = 87187968.

The previous prime is 230314481. The next prime is 230314537. The reversal of 230314504 is 405413032.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2152419 + ... + 2152525.

It is an arithmetic number, because the mean of its divisors is an integer number (3937275).

Almost surely, 2230314504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230314504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283483800).

230314504 is an abundant number, since it is smaller than the sum of its proper divisors (336653096).

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

230314504 is a wasteful number, since it uses less digits than its factorization.

230314504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 230314504 is about 15176.1162357172. The cubic root of 230314504 is about 612.9717073769.

Adding to 230314504 its reverse (405413032), we get a palindrome (635727536).

It can be divided in two parts, 2303 and 14504, that added together give a 5-th power (16807 = 75).

The spelling of 230314504 in words is "two hundred thirty million, three hundred fourteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 107 119 133 136 152 196 214 238 266 289 323 392 428 476 532 578 646 749 833 856 931 952 1064 1156 1292 1498 1666 1819 1862 2023 2033 2261 2312 2584 2996 3332 3638 3724 4046 4066 4522 5243 5491 5992 6664 7276 7448 8092 8132 9044 10486 10982 12733 14161 14231 14552 15827 16184 16264 18088 20972 21964 25466 28322 28462 30923 31654 34561 38437 41944 43928 50932 56644 56924 61846 63308 69122 76874 89131 99617 101864 113288 113848 123692 126616 138244 153748 178262 199234 216461 241927 247384 269059 276488 307496 356524 398468 432922 483854 538118 587537 713048 796936 865844 967708 1076236 1175074 1515227 1693489 1731688 1935416 2152472 2350148 3030454 3386978 4112759 4700296 6060908 6773956 8225518 12121816 13547912 16451036 28789313 32902072 57578626 115157252 230314504