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122204641 = 13411132029
BaseRepresentation
bin1110100100010…
…11000111100001
322111221122020211
413102023013201
5222241022031
620043134121
73012502516
oct722130741
9274848224
10122204641
1162a88179
1234b14341
131c419550
141233130d
15aaddbb1
hex748b1e1

122204641 has 16 divisors (see below), whose sum is σ = 136074960. Its totient is φ = 109025280.

The previous prime is 122204639. The next prime is 122204689. The reversal of 122204641 is 146402221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23619600 + 98585041 = 4860^2 + 9929^2 .

It is not a de Polignac number, because 122204641 - 21 = 122204639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122204611) 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, 59215 + ... + 61243.

It is an arithmetic number, because the mean of its divisors is an integer number (8504685).

Almost surely, 2122204641 is an apocalyptic number.

It is an amenable number.

122204641 is a deficient number, since it is larger than the sum of its proper divisors (13870319).

122204641 is a wasteful number, since it uses less digits than its factorization.

122204641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 122204641 is about 11054.6207985620. The cubic root of 122204641 is about 496.2447210363.

Adding to 122204641 its reverse (146402221), we get a palindrome (268606862).

It can be divided in two parts, 12220 and 4641, that added together give a palindrome (16861).

The spelling of 122204641 in words is "one hundred twenty-two million, two hundred four thousand, six hundred forty-one".

Divisors: 1 13 41 113 533 1469 2029 4633 26377 60229 83189 229277 1081457 2980601 9400357 122204641