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221002122 = 231116720051
BaseRepresentation
bin11010010110000…
…11100110001010
3120101212001220210
431023003212022
5423034031442
633532501550
75322326025
oct1513034612
9511761823
10221002122
11103828190
126201a8b6
1336a2b8b3
14214cc1bc
151460719c
hexd2c398a

221002122 has 32 divisors (see below), whose sum is σ = 485097984. Its totient is φ = 66566000.

The previous prime is 221002121. The next prime is 221002151. The reversal of 221002122 is 221200122.

221002122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221002098 and 221002107.

It is not an unprimeable number, because it can be changed into a prime (221002121) 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, 997 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (15159312).

Almost surely, 2221002122 is an apocalyptic number.

221002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221002122 is an abundant number, since it is smaller than the sum of its proper divisors (264095862).

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

221002122 is a wasteful number, since it uses less digits than its factorization.

221002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20234.

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

The square root of 221002122 is about 14866.1401177306. The cubic root of 221002122 is about 604.5962946618.

Adding to 221002122 its reverse (221200122), we get a palindrome (442202244).

The spelling of 221002122 in words is "two hundred twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 167 334 501 1002 1837 3674 5511 11022 20051 40102 60153 120306 220561 441122 661683 1323366 3348517 6697034 10045551 20091102 36833687 73667374 110501061 221002122