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230452144 = 24134161443
BaseRepresentation
bin11011011110001…
…10101110110000
3121001122011220121
431233012232300
5432443432034
634511220024
75465545066
oct1557065660
9531564817
10230452144
111090a211a
1265217614
133898a020
142286c036
15153721b4
hexdbc6bb0

230452144 has 80 divisors (see below), whose sum is σ = 501780384. Its totient is φ = 101836800.

The previous prime is 230452141. The next prime is 230452147. The reversal of 230452144 is 441254032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230452141) and next prime (230452147).

It is not an unprimeable number, because it can be changed into a prime (230452141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519987 + ... + 520429.

Almost surely, 2230452144 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 230452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250890192).

230452144 is an abundant number, since it is smaller than the sum of its proper divisors (271328240).

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

230452144 is a wasteful number, since it uses less digits than its factorization.

230452144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 230452144 is about 15180.6503154509. The cubic root of 230452144 is about 613.0937906197.

The spelling of 230452144 in words is "two hundred thirty million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 41 52 61 82 104 122 164 208 244 328 443 488 533 656 793 886 976 1066 1586 1772 2132 2501 3172 3544 4264 5002 5759 6344 7088 8528 10004 11518 12688 18163 20008 23036 27023 32513 36326 40016 46072 54046 65026 72652 92144 108092 130052 145304 216184 236119 260104 290608 351299 432368 472238 520208 702598 944476 1107943 1405196 1888952 2215886 2810392 3777904 4431772 5620784 8863544 14403259 17727088 28806518 57613036 115226072 230452144