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221022021 = 311294143131
BaseRepresentation
bin11010010110010…
…00011101000101
3120101220002012210
431023020131011
5423040201041
633533134033
75322441033
oct1513103505
9511802183
10221022021
11103841130
126202a319
1336a3797c
14214d5553
151460d016
hexd2c8745

221022021 has 64 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 122304000.

The previous prime is 221022017. The next prime is 221022073. The reversal of 221022021 is 120220122.

It is not a de Polignac number, because 221022021 - 22 = 221022017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021988 and 221022006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022091) 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 63 ways as a sum of consecutive naturals, for example, 1687126 + ... + 1687256.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2221022021 is an apocalyptic number.

It is an amenable number.

221022021 is a deficient number, since it is larger than the sum of its proper divisors (130245819).

221022021 is a wasteful number, since it uses less digits than its factorization.

221022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221022021 is about 14866.8093752493. The cubic root of 221022021 is about 604.6144400390.

Adding to 221022021 its reverse (120220122), we get a palindrome (341242143).

The spelling of 221022021 in words is "two hundred twenty-one million, twenty-two thousand, twenty-one".

Divisors: 1 3 11 29 33 41 43 87 123 129 131 319 393 451 473 957 1189 1247 1353 1419 1441 1763 3567 3741 3799 4323 5289 5371 5633 11397 13079 13717 16113 16899 19393 39237 41151 41789 51127 58179 59081 61963 125367 153381 155759 163357 177243 185889 230953 467277 490071 562397 692859 1687191 1713349 1796927 2540483 5140047 5390781 6697637 7621449 20092911 73674007 221022021