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230392272 = 24311538233
BaseRepresentation
bin11011011101110…
…00000111010000
3121001112010210010
431232320013100
5432440023042
634510034520
75465205405
oct1556700720
9531463703
10230392272
11109061140
12651a8a40
13389689b6
14228542ac
151535e59c
hexdbb81d0

230392272 has 80 divisors (see below), whose sum is σ = 661618368. Its totient is φ = 68490240.

The previous prime is 230392259. The next prime is 230392273. The reversal of 230392272 is 272293032.

230392272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230392273) 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, 23868 + ... + 32100.

Almost surely, 2230392272 is an apocalyptic number.

230392272 is a gapful number since it is divisible by the number (22) 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 230392272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330809184).

230392272 is an abundant number, since it is smaller than the sum of its proper divisors (431226096).

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

230392272 is a wasteful number, since it uses less digits than its factorization.

230392272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 230392272 is about 15178.6782033219. The cubic root of 230392272 is about 613.0406916261.

The spelling of 230392272 in words is "two hundred thirty million, three hundred ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 8233 9328 13992 16466 24699 27984 32932 49398 65864 90563 98796 131728 181126 197592 271689 362252 395184 436349 543378 724504 872698 1086756 1309047 1449008 1745396 2173512 2618094 3490792 4347024 4799839 5236188 6981584 9599678 10472376 14399517 19199356 20944752 28799034 38398712 57598068 76797424 115196136 230392272