Search a number
-
+
470307227022300 = 223528879411878223
BaseRepresentation
bin110101011101111011110111…
…1001100111011001111011100
32021200012221011021201200112010
41222323313233030323033130
5443121003200104203200
64344132053555511220
7201030401342121633
oct15273675714731734
92250187137650463
10470307227022300
111269441a1851918
12448b88368b8510
1317256a204150c5
14841cdc3d8651a
153958b849e3150
hex1abbdef33b3dc

470307227022300 has 144 divisors (see below), whose sum is σ = 1363738117174272. Its totient is φ = 125140672838400.

The previous prime is 470307227022257. The next prime is 470307227022301. The reversal of 470307227022300 is 3220722703074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470307227022301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249460989 + ... + 251339211.

It is an arithmetic number, because the mean of its divisors is an integer number (9470403591488).

Almost surely, 2470307227022300 is an apocalyptic number.

It is an amenable number.

470307227022300 is an abundant number, since it is smaller than the sum of its proper divisors (893430890151972).

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

470307227022300 is a wasteful number, since it uses less digits than its factorization.

470307227022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880068 (or 1880061 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 39.

Adding to 470307227022300 its reverse (3220722703074), we get a palindrome (473527949725374).

The spelling of 470307227022300 in words is "four hundred seventy trillion, three hundred seven billion, two hundred twenty-seven million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 887 941 1774 1882 2661 2823 3548 3764 4435 4705 5322 5646 8870 9410 10644 11292 13305 14115 17740 18820 22175 23525 26610 28230 44350 47050 53220 56460 66525 70575 88700 94100 133050 141150 266100 282300 834667 1669334 1878223 2504001 3338668 3756446 4173335 5008002 5634669 7512892 8346670 9391115 10016004 11269338 12520005 16693340 18782230 20866675 22538676 25040010 28173345 37564460 41733350 46955575 50080020 56346690 62600025 83466700 93911150 112693380 125200050 140866725 187822300 250400100 281733450 563466900 1665983801 1767407843 3331967602 3534815686 4997951403 5302223529 6663935204 7069631372 8329919005 8837039215 9995902806 10604447058 16659838010 17674078430 19991805612 21208894116 24989757015 26511117645 33319676020 35348156860 41649595025 44185196075 49979514030 53022235290 83299190050 88370392150 99959028060 106044470580 124948785075 132555588225 166598380100 176740784300 249897570150 265111176450 499795140300 530222352900 1567690756741 3135381513482 4703072270223 6270763026964 7838453783705 9406144540446 15676907567410 18812289080892 23515361351115 31353815134820 39192268918525 47030722702230 78384537837050 94061445404460 117576806755575 156769075674100 235153613511150 470307227022300