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22106961 = 322984701
BaseRepresentation
bin101010001010…
…1001101010001
31112121011001100
41110111031101
521124410321
62105455013
7355622532
oct124251521
945534040
1022106961
111152a318
1274a1469
134770456
142d16689
151e1a326
hex1515351

22106961 has 12 divisors (see below), whose sum is σ = 33033780. Its totient is φ = 14229600.

The previous prime is 22106957. The next prime is 22106963. The reversal of 22106961 is 16960122.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 13950225 = 2856^2 + 3735^2 .

It is not a de Polignac number, because 22106961 - 22 = 22106957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22106963) 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 11 ways as a sum of consecutive naturals, for example, 42090 + ... + 42611.

It is an arithmetic number, because the mean of its divisors is an integer number (2752815).

Almost surely, 222106961 is an apocalyptic number.

It is an amenable number.

22106961 is a deficient number, since it is larger than the sum of its proper divisors (10926819).

22106961 is a wasteful number, since it uses less digits than its factorization.

22106961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84736 (or 84733 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22106961 is about 4701.8040154817. The cubic root of 22106961 is about 280.6573035533.

The spelling of 22106961 in words is "twenty-two million, one hundred six thousand, nine hundred sixty-one".

Divisors: 1 3 9 29 87 261 84701 254103 762309 2456329 7368987 22106961