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230001144 = 2334125701
BaseRepresentation
bin11011011010110…
…00100111111000
3121000210021020220
431231120213320
5432340014034
634453420040
75461656162
oct1555304770
9530707226
10230001144
1110891429a
126503a620
133885c969
1422791932
15152d3749
hexdb589f8

230001144 has 48 divisors (see below), whose sum is σ = 589472760. Its totient is φ = 74784000.

The previous prime is 230001131. The next prime is 230001157. The reversal of 230001144 is 441100032.

It is an interprime number because it is at equal distance from previous prime (230001131) and next prime (230001157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37494 + ... + 43194.

Almost surely, 2230001144 is an apocalyptic number.

230001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294736380).

230001144 is an abundant number, since it is smaller than the sum of its proper divisors (359471616).

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

230001144 is a wasteful number, since it uses less digits than its factorization.

230001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230001144 is about 15165.7886046193. The cubic root of 230001144 is about 612.6935833477.

Adding to 230001144 its reverse (441100032), we get a palindrome (671101176).

The spelling of 230001144 in words is "two hundred thirty million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1681 3362 5043 5701 6724 10086 11402 13448 17103 20172 22804 34206 40344 45608 68412 136824 233741 467482 701223 934964 1402446 1869928 2804892 5609784 9583381 19166762 28750143 38333524 57500286 76667048 115000572 230001144