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230519916 = 2232113715733
BaseRepresentation
bin11011011110101…
…11010001101100
3121001202121212200
431233113101230
5433003114131
634512501500
75466246504
oct1557272154
9531677780
10230519916
11109139030
126524a890
13389b1b23
1422888a04
15153872e6
hexdbd746c

230519916 has 72 divisors (see below), whose sum is σ = 652898064. Its totient is φ = 67962240.

The previous prime is 230519897. The next prime is 230519921. The reversal of 230519916 is 619915032.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6786 + ... + 22518.

Almost surely, 2230519916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230519916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326449032).

230519916 is an abundant number, since it is smaller than the sum of its proper divisors (422378148).

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

230519916 is a wasteful number, since it uses less digits than its factorization.

230519916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 230519916 is about 15182.8823350509. The cubic root of 230519916 is about 613.1538848316.

The spelling of 230519916 in words is "two hundred thirty million, five hundred nineteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 15733 31466 47199 62932 94398 141597 173063 188796 283194 346126 519189 566388 582121 692252 1038378 1164242 1557567 1746363 2076756 2328484 3115134 3492726 5239089 6230268 6403331 6985452 10478178 12806662 19209993 20956356 25613324 38419986 57629979 76839972 115259958 230519916