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221341104 = 24323741543
BaseRepresentation
bin11010011000101…
…10010110110000
3120102111021220200
431030112112300
5423130403404
633544035200
75325240225
oct1514262660
9512437820
10221341104
11103a39936
1262162b00
1336b19c8a
142157994c
1514672839
hexd3165b0

221341104 has 60 divisors (see below), whose sum is σ = 636204816. Its totient is φ = 71784576.

The previous prime is 221341069. The next prime is 221341181. The reversal of 221341104 is 401143122.

221341104 is a `hidden beast` number, since 221 + 341 + 104 = 666.

221341104 is digitally balanced in base 3, 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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15444 + ... + 26099.

Almost surely, 2221341104 is an apocalyptic number.

221341104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221341104 is an abundant number, since it is smaller than the sum of its proper divisors (414863712).

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

221341104 is a wasteful number, since it uses less digits than its factorization.

221341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41594 (or 41585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221341104 is about 14877.5368929134. The cubic root of 221341104 is about 604.9052548398.

Adding to 221341104 its reverse (401143122), we get a palindrome (622484226).

It can be divided in two parts, 221341 and 104, that added together give a triangular number (221445 = T665).

The spelling of 221341104 in words is "two hundred twenty-one million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 41543 83086 124629 166172 249258 332344 373887 498516 664688 747774 997032 1495548 1537091 1994064 2991096 3074182 4611273 5982192 6148364 9222546 12296728 13833819 18445092 24593456 27667638 36890184 55335276 73780368 110670552 221341104