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224241110040 = 23352381246779
BaseRepresentation
bin1101000011010111001…
…1111100110000011000
3210102210202012122222210
43100311303330300120
512133221211010130
6251003121115120
722125621662133
oct3206563746030
9712722178883
10224241110040
1187111295a42
1237561a88aa0
13181b856767c
14abd376121a
155c766e05b0
hex3435cfcc18

224241110040 has 64 divisors (see below), whose sum is σ = 701972179200. Its totient is φ = 57197731712.

The previous prime is 224241110039. The next prime is 224241110081. The reversal of 224241110040 is 40011142422.

224241110040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224241109989 and 224241110016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40620630 + ... + 40626149.

It is an arithmetic number, because the mean of its divisors is an integer number (10968315300).

Almost surely, 2224241110040 is an apocalyptic number.

224241110040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224241110040 is an abundant number, since it is smaller than the sum of its proper divisors (477731069160).

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

224241110040 is a wasteful number, since it uses less digits than its factorization.

224241110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81246816 (or 81246812 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 224241110040 its reverse (40011142422), we get a palindrome (264252252462).

The spelling of 224241110040 in words is "two hundred twenty-four billion, two hundred forty-one million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 81246779 162493558 243740337 324987116 406233895 487480674 649974232 812467790 974961348 1218701685 1624935580 1868675917 1949922696 2437403370 3249871160 3737351834 4874806740 5606027751 7474703668 9343379585 9749613480 11212055502 14949407336 18686759170 22424111004 28030138755 37373518340 44848222008 56060277510 74747036680 112120555020 224241110040