Search a number
-
+
221061568 = 2671337957
BaseRepresentation
bin11010010110100…
…10000111000000
3120101222002110111
431023102013000
5423042432233
633534041104
75322664240
oct1513220700
9511862414
10221061568
11103868912
1262049194
1336a4c980
1421505b20
1514619acd
hexd2d21c0

221061568 has 56 divisors (see below), whose sum is σ = 539914592. Its totient is φ = 87450624.

The previous prime is 221061563. The next prime is 221061601. The reversal of 221061568 is 865160122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221061563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13155 + ... + 24802.

It is an arithmetic number, because the mean of its divisors is an integer number (9641332).

Almost surely, 2221061568 is an apocalyptic number.

221061568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

221061568 is an abundant number, since it is smaller than the sum of its proper divisors (318853024).

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

221061568 is a wasteful number, since it uses less digits than its factorization.

221061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37989 (or 37979 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 221061568 is about 14868.1393590456. The cubic root of 221061568 is about 604.6504986802.

The spelling of 221061568 in words is "two hundred twenty-one million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 37957 75914 151828 265699 303656 493441 531398 607312 986882 1062796 1214624 1973764 2125592 2429248 3454087 3947528 4251184 6908174 7895056 8502368 13816348 15790112 17004736 27632696 31580224 55265392 110530784 221061568