Search a number
-
+
221135540 = 22559193971
BaseRepresentation
bin11010010111001…
…00001010110100
3120102002211221012
431023210022310
5423102314130
633535411352
75323423013
oct1513441264
9512084835
10221135540
1110390944a
1262083b58
1336a77542
1421524a7a
1514631995
hexd2e42b4

221135540 has 48 divisors (see below), whose sum is σ = 475191360. Its totient is φ = 86415360.

The previous prime is 221135533. The next prime is 221135549. The reversal of 221135540 is 45531122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221135549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 227255 + ... + 228225.

It is an arithmetic number, because the mean of its divisors is an integer number (9899820).

Almost surely, 2221135540 is an apocalyptic number.

221135540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221135540 is an abundant number, since it is smaller than the sum of its proper divisors (254055820).

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

221135540 is a wasteful number, since it uses less digits than its factorization.

221135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 221135540 is about 14870.6267520908. The cubic root of 221135540 is about 604.7179342204.

Adding to 221135540 its reverse (45531122), we get a palindrome (266666662).

The spelling of 221135540 in words is "two hundred twenty-one million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 59 118 193 236 295 386 590 772 965 971 1180 1930 1942 3860 3884 4855 9710 11387 19420 22774 45548 56935 57289 113870 114578 187403 227740 229156 286445 374806 572890 749612 937015 1145780 1874030 3748060 11056777 22113554 44227108 55283885 110567770 221135540