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226410453540 = 223251966201887
BaseRepresentation
bin1101001011011100011…
…1010101101000100100
3210122101221012201211100
43102313013111220210
512202142034003130
6252002253440100
722233443046555
oct3226707255044
9718357181740
10226410453540
1188024886907
1237a684a0030
1318472b2428b
14ad5b8dc32c
155d51da3c60
hex34b71d5a24

226410453540 has 72 divisors (see below), whose sum is σ = 722924616960. Its totient is φ = 57198429504.

The previous prime is 226410453499. The next prime is 226410453553. The reversal of 226410453540 is 45354014622.

226410453540 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 104 + 5 + 3 + 540 = 666.

226410453540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226410453495 and 226410453504.

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 23 ways as a sum of consecutive naturals, for example, 33097524 + ... + 33104363.

It is an arithmetic number, because the mean of its divisors is an integer number (10040619680).

Almost surely, 2226410453540 is an apocalyptic number.

226410453540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226410453540 is an abundant number, since it is smaller than the sum of its proper divisors (496514163420).

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

226410453540 is a wasteful number, since it uses less digits than its factorization.

226410453540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66201921 (or 66201916 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 226410453540 in words is "two hundred twenty-six billion, four hundred ten million, four hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 66201887 132403774 198605661 264807548 331009435 397211322 595816983 662018870 794422644 993028305 1191633966 1257835853 1324037740 1986056610 2383267932 2515671706 2979084915 3773507559 3972113220 5031343412 5958169830 6289179265 7547015118 11320522677 11916339660 12578358530 15094030236 18867537795 22641045354 25156717060 37735075590 45282090708 56602613385 75470151180 113205226770 226410453540