Search a number
-
+
223453541010231 = 33719101616098941
BaseRepresentation
bin110010110011101011010100…
…111011111000101100110111
31002022011221122110210100011000
4302303223110323320230313
5213242030322444311411
62111125050053014343
765031662024513340
oct6263532473705467
91068157573710130
10223453541010231
1165221129529944
122108a9629243b3
13978b769c7878c
143d272cda630c7
151ac7815715956
hexcb3ad4ef8b37

223453541010231 has 64 divisors (see below), whose sum is σ = 402189389337600. Its totient is φ = 119769633936000.

The previous prime is 223453541010229. The next prime is 223453541010247. The reversal of 223453541010231 is 132010145354322.

223453541010231 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 5 + 3 + 5 + 410 + 1 + 0 + 231 = 666.

It is not a de Polignac number, because 223453541010231 - 21 = 223453541010229 is a prime.

It is a super-2 number, since 2×2234535410102312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223453541015231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307686780 + ... + 308412161.

It is an arithmetic number, because the mean of its divisors is an integer number (6284209208400).

Almost surely, 2223453541010231 is an apocalyptic number.

223453541010231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223453541010231 is a deficient number, since it is larger than the sum of its proper divisors (178735848327369).

223453541010231 is a wasteful number, since it uses less digits than its factorization.

223453541010231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616099077 (or 616099071 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 223453541010231 its reverse (132010145354322), we get a palindrome (355463686364553).

The spelling of 223453541010231 in words is "two hundred twenty-three trillion, four hundred fifty-three billion, five hundred forty-one million, ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 101 133 171 189 303 399 513 707 909 1197 1919 2121 2727 3591 5757 6363 13433 17271 19089 40299 51813 120897 362691 616098941 1848296823 4312692587 5544890469 11705879879 12938077761 16634671407 35117639637 38814233283 62225993041 81941159153 105352918911 116442699849 186677979123 245823477459 316058756733 435581951287 560033937369 737470432377 1182293867779 1306745853861 1680101812107 2212411297131 3546881603337 3920237561583 8276057074453 10640644810011 11760712684749 24828171223359 31921934430033 74484513670077 223453541010231