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230114250 = 2335373467
BaseRepresentation
bin11011011011101…
…00001111001010
3121001000000102000
431231310033022
5432402124000
634500051430
75462640012
oct1555641712
9531000360
10230114250
11108991273
1265093b76
133889c2a2
14227c0c42
1515307000
hexdb743ca

230114250 has 128 divisors (see below), whose sum is σ = 648311040. Its totient is φ = 60393600.

The previous prime is 230114249. The next prime is 230114267. The reversal of 230114250 is 52411032.

230114250 is a `hidden beast` number, since 230 + 11 + 425 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492517 + ... + 492983.

It is an arithmetic number, because the mean of its divisors is an integer number (5064930).

Almost surely, 2230114250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230114250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324155520).

230114250 is an abundant number, since it is smaller than the sum of its proper divisors (418196790).

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

230114250 is a wasteful number, since it uses less digits than its factorization.

230114250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 230114250 is about 15169.5171314053. The cubic root of 230114250 is about 612.7940001872.

Adding to 230114250 its reverse (52411032), we get a palindrome (282525282).

It can be divided in two parts, 23011 and 4250, that added together give a triangular number (27261 = T233).

The spelling of 230114250 in words is "two hundred thirty million, one hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 73 75 90 125 135 146 150 219 225 250 270 365 375 438 450 467 657 675 730 750 934 1095 1125 1314 1350 1401 1825 1971 2190 2250 2335 2802 3285 3375 3650 3942 4203 4670 5475 6570 6750 7005 8406 9125 9855 10950 11675 12609 14010 16425 18250 19710 21015 23350 25218 27375 32850 34091 35025 42030 49275 54750 58375 63045 68182 70050 82125 98550 102273 105075 116750 126090 164250 170455 175125 204546 210150 246375 306819 315225 340910 350250 492750 511365 525375 613638 630450 852275 920457 1022730 1050750 1534095 1576125 1704550 1840914 2556825 3068190 3152250 4261375 4602285 5113650 7670475 8522750 9204570 12784125 15340950 23011425 25568250 38352375 46022850 76704750 115057125 230114250