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230333223000 = 23353757710133
BaseRepresentation
bin1101011010000011101…
…1100001000001011000
3211000112022121001220010
43112200323201001120
512233210301114000
6253451424201520
722432605043326
oct3264073410130
9730468531803
10230333223000
1189758110641
12387821692a0
131894974503a
14b2108aad16
155ed1470d50
hex35a0ee1058

230333223000 has 128 divisors (see below), whose sum is σ = 718805430720. Its totient is φ = 61408025600.

The previous prime is 230333222981. The next prime is 230333223007. The reversal of 230333223000 is 322333032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333223007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22725934 + ... + 22736066.

Almost surely, 2230333223000 is an apocalyptic number.

230333223000 is a gapful number since it is divisible by the number (20) 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 230333223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359402715360).

230333223000 is an abundant number, since it is smaller than the sum of its proper divisors (488472207720).

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

230333223000 is a wasteful number, since it uses less digits than its factorization.

230333223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17734 (or 17720 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 230333223000 its reverse (322333032), we get a palindrome (230655556032).

The spelling of 230333223000 in words is "two hundred thirty billion, three hundred thirty-three million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7577 10133 15154 20266 22731 30308 30399 37885 40532 45462 50665 60616 60798 75770 81064 90924 101330 113655 121596 151540 151995 181848 189425 202660 227310 243192 253325 303080 303990 378850 405320 454620 506650 568275 607980 757700 759975 909240 947125 1013300 1136550 1215960 1266625 1515400 1519950 1894250 2026600 2273100 2533250 2841375 3039900 3788500 3799875 4546200 5066500 5682750 6079800 7577000 7599750 10133000 11365500 15199500 22731000 30399000 76777741 153555482 230333223 307110964 383888705 460666446 614221928 767777410 921332892 1151666115 1535554820 1842665784 1919443525 2303332230 3071109640 3838887050 4606664460 5758330575 7677774100 9213328920 9597217625 11516661150 15355548200 19194435250 23033322300 28791652875 38388870500 46066644600 57583305750 76777741000 115166611500 230333223000