Search a number
-
+
223125245213325 = 35272135979158217
BaseRepresentation
bin110010101110111001100100…
…111110110011101010001101
31002021000120020222022220011220
4302232321210332303222031
5213221141000233311300
62110314153402433553
764666160402341200
oct6256714476635215
91067016228286156
10223125245213325
1165104981072624
12210372012028b9
13976680ab734a0
143d15468973937
151abdeedd61da0
hexcaee64fb3a8d

223125245213325 has 144 divisors (see below), whose sum is σ = 469971839252160. Its totient is φ = 92558118804480.

The previous prime is 223125245213291. The next prime is 223125245213369. The reversal of 223125245213325 is 523312542521322.

It is not a de Polignac number, because 223125245213325 - 27 = 223125245213197 is a prime.

It is a super-3 number, since 3×2231252452133253 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36760384 + ... + 42397833.

It is an arithmetic number, because the mean of its divisors is an integer number (3263693328140).

Almost surely, 2223125245213325 is an apocalyptic number.

223125245213325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223125245213325 is an abundant number, since it is smaller than the sum of its proper divisors (246846594038835).

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

223125245213325 is a wasteful number, since it uses less digits than its factorization.

223125245213325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79158316 (or 79158304 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

Adding to 223125245213325 its reverse (523312542521322), we get a palindrome (746437787734647).

The spelling of 223125245213325 in words is "two hundred twenty-three trillion, one hundred twenty-five billion, two hundred forty-five million, two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 59 65 75 91 105 147 175 177 195 245 273 295 325 413 455 525 637 735 767 885 975 1225 1239 1365 1475 1911 2065 2275 2301 2891 3185 3675 3835 4425 5369 6195 6825 8673 9555 10325 11505 14455 15925 16107 19175 26845 30975 37583 43365 47775 57525 72275 80535 112749 134225 187915 216825 402675 563745 939575 2818725 79158217 237474651 395791085 554107519 1029056821 1187373255 1662322557 1978955425 2770537595 3087170463 3878752633 4670334803 5145284105 5936866275 7203397747 8311612785 11636257899 13852687975 14011004409 15435852315 19393763165 21610193241 23351674015 25726420525 32692343621 36016988735 41558063925 50423784229 58181289495 60714352439 70055022045 77179261575 96968815825 98077030863 108050966205 116758370075 151271352687 163461718105 180084943675 182143057317 228846405347 252118921145 290906447475 303571762195 350275110225 425000467073 490385154315 540254831025 686539216041 756356763435 817308590525 910715286585 1144232026735 1260594605725 1275001401219 1517858810975 2125002335365 2451925771575 2975003269511 3432696080205 3781783817175 4553576432925 5721160133675 6375007006095 8925009808533 10625011676825 14875016347555 17163480401025 31875035030475 44625049042665 74375081737775 223125245213325