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230177325187216 = 2411249926912
BaseRepresentation
bin110100010101100001010101…
…101101000000000010010000
31010011222201220112221122222001
4310111201111231000002100
5220132211130221442331
62133314000422523344
766324522460153111
oct6425412555000220
91104881815848861
10230177325187216
11673837233a3100
1221995aa8596554
139b588231373c4
1440ba8db852208
151b92691814561
hexd15855b40090

230177325187216 has 135 divisors (see below), whose sum is σ = 491893037617779. Its totient is φ = 104265276350400.

The previous prime is 230177325187151. The next prime is 230177325187219. The reversal of 230177325187216 is 612781523771032.

The square root of 230177325187216 is 15171596.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230177325187219) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 333107561431 + ... + 333107562121.

Almost surely, 2230177325187216 is an apocalyptic number.

230177325187216 is the 15171596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230177325187216

230177325187216 is an abundant number, since it is smaller than the sum of its proper divisors (261715712430563).

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

230177325187216 is an frugal number, since it uses more digits than its factorization.

230177325187216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 55.

The spelling of 230177325187216 in words is "two hundred thirty trillion, one hundred seventy-seven billion, three hundred twenty-five million, one hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 499 691 968 998 1382 1936 1996 2764 3992 5489 5528 7601 7984 10978 11056 15202 21956 30404 43912 60379 60808 83611 87824 120758 121616 167222 241516 249001 334444 344809 477481 483032 498002 668888 689618 954962 966064 996004 1337776 1379236 1909924 1992008 2739011 2758472 3792899 3819848 3984016 5252291 5478022 5516944 7585798 7639696 10504582 10956044 15171596 21009164 21912088 30129121 30343192 41721889 42018328 43824176 57775201 60258242 60686384 83443778 84036656 115550402 120516484 166887556 172059691 231100804 238263019 241032968 333775112 344119382 462201608 476526038 482065936 667550224 688238764 924403216 953052076 1376477528 1892656601 1906104152 2620893209 2752955056 3785313202 3812208304 5241786418 7570626404 10483572836 15141252808 20819222611 20967145672 28829825299 30282505616 41638445222 41934291344 57659650598 83276890444 115319301196 118893246481 166553780888 230638602392 237786492962 333107561776 461277204784 475572985924 951145971848 1307825711291 1902291943696 2615651422582 5231302845164 10462605690328 14386082824201 20925211380656 28772165648402 57544331296804 115088662593608 230177325187216