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223013413022140 = 225132114065136949
BaseRepresentation
bin110010101101010001011011…
…010000110110100110111100
31002020121212121012022222000001
4302231101123100312212330
5213212322432213202030
62110150540402444044
764655121162400366
oct6255213320664674
91066555535288001
10223013413022140
1165071503781124
12210195b0963624
1397590c7bc50b0
143d0dc9a2d7d36
151abb155ea2cca
hexcad45b4369bc

223013413022140 has 48 divisors (see below), whose sum is σ = 506743711639200. Its totient is φ = 81953160871680.

The previous prime is 223013413022021. The next prime is 223013413022201. The reversal of 223013413022140 is 41220314310322.

It is a super-3 number, since 3×2230134130221403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223013413022099 and 223013413022108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032513615 + ... + 2032623334.

It is an arithmetic number, because the mean of its divisors is an integer number (10557160659150).

Almost surely, 2223013413022140 is an apocalyptic number.

223013413022140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223013413022140 is an abundant number, since it is smaller than the sum of its proper divisors (283730298617060).

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

223013413022140 is a wasteful number, since it uses less digits than its factorization.

223013413022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065137182 (or 4065137180 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 223013413022140 its reverse (41220314310322), we get a palindrome (264233727332462).

The spelling of 223013413022140 in words is "two hundred twenty-three trillion, thirteen billion, four hundred thirteen million, twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 2110 2743 4220 5486 10972 13715 27430 54860 4065136949 8130273898 16260547796 20325684745 40651369490 52846780337 81302738980 105693560674 211387121348 264233901685 528467803370 857743896239 1056935606740 1715487792478 3430975584956 4288719481195 8577438962390 11150670651107 17154877924780 22301341302214 44602682604428 55753353255535 111506706511070 223013413022140