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230117715400 = 235217353319157
BaseRepresentation
bin1101011001010000010…
…1011010110111001000
3210222222022002011001011
43112110011122313020
512232240113343100
6253414205133304
722424350210306
oct3262405326710
9728868064034
10230117715400
11896574a6591
1238721b5a234
1318913bbb351
14b1d000d276
155ebc5a1bba
hex359415adc8

230117715400 has 96 divisors (see below), whose sum is σ = 566685593640. Its totient is φ = 86603509760.

The previous prime is 230117715329. The next prime is 230117715407. The reversal of 230117715400 is 4517711032.

It can be written as a sum of positive squares in 12 ways, for example, as 15783901956 + 214333813444 = 125634^2 + 462962^2 .

It is not an unprimeable number, because it can be changed into a prime (230117715407) 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, 12002622 + ... + 12021778.

Almost surely, 2230117715400 is an apocalyptic number.

230117715400 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 230117715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283342796820).

230117715400 is an abundant number, since it is smaller than the sum of its proper divisors (336567878240).

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

230117715400 is a wasteful number, since it uses less digits than its factorization.

230117715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723 (or 22714 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 230117715400 in words is "two hundred thirty billion, one hundred seventeen million, seven hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 3533 7066 14132 17665 19157 28264 35330 38314 60061 70660 76628 88325 95785 120122 141320 153256 176650 191570 240244 300305 325669 353300 383140 478925 480488 600610 651338 706600 766280 957850 1201220 1302676 1501525 1628345 1915700 2402440 2605352 3003050 3256690 3831400 6006100 6513380 8141725 12012200 13026760 16283450 32566900 65133800 67681681 135363362 270726724 338408405 541453448 676816810 1150588577 1353633620 1692042025 2301177154 2707267240 3384084050 4602354308 5752942885 6768168100 9204708616 11505885770 13536336200 23011771540 28764714425 46023543080 57529428850 115058857700 230117715400