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230469148 = 227213293119
BaseRepresentation
bin11011011110010…
…10111000011100
3121001200001020101
431233022320130
5433000003043
634511430444
75465645500
oct1557127034
9531601211
10230469148
11109103978
1265225424
13389949a0
1422874300
151537724d
hexdbcae1c

230469148 has 72 divisors (see below), whose sum is σ = 522849600. Its totient is φ = 88002432.

The previous prime is 230469143. The next prime is 230469157. The reversal of 230469148 is 841964032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230469143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72333 + ... + 75451.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2230469148 is an apocalyptic number.

230469148 is a gapful number since it is divisible by the number (28) 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 230469148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

230469148 is an abundant number, since it is smaller than the sum of its proper divisors (292380452).

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

230469148 is a wasteful number, since it uses less digits than its factorization.

230469148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 230469148 is about 15181.2103601788. The cubic root of 230469148 is about 613.1088693691.

The spelling of 230469148 in words is "two hundred thirty million, four hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1274 1421 1508 2548 2639 2842 3119 5278 5684 6238 10556 12476 18473 21833 36946 40547 43666 73892 81094 87332 90451 152831 162188 180902 283829 305662 361804 567658 611324 633157 1135316 1175863 1266314 1986803 2351726 2532628 3973606 4432099 4703452 7947212 8231041 8864198 16462082 17728396 32924164 57617287 115234574 230469148