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122225141 = 417397421
BaseRepresentation
bin1110100100100…
…00000111110101
322111222200101002
413102100013311
5222242201031
620043413045
73012616343
oct722200765
9274880332
10122225141
1162aa1615
1234b24185
131c42598c
1412338993
15aae4ccb
hex74901f5

122225141 has 16 divisors (see below), whose sum is σ = 128534448. Its totient is φ = 116121600.

The previous prime is 122225123. The next prime is 122225149. The reversal of 122225141 is 141522221.

It can be written as a sum of positive squares in 8 ways, for example, as 42640900 + 79584241 = 6530^2 + 8921^2 .

It is a cyclic number.

It is not a de Polignac number, because 122225141 - 222 = 118030837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122225149) 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, 290111 + ... + 290531.

It is an arithmetic number, because the mean of its divisors is an integer number (8033403).

Almost surely, 2122225141 is an apocalyptic number.

It is an amenable number.

122225141 is a deficient number, since it is larger than the sum of its proper divisors (6309307).

122225141 is an equidigital number, since it uses as much as digits as its factorization.

122225141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 320, while the sum is 20.

The square root of 122225141 is about 11055.5479737551. The cubic root of 122225141 is about 496.2724680676.

Adding to 122225141 its reverse (141522221), we get a palindrome (263747362).

The spelling of 122225141 in words is "one hundred twenty-two million, two hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 41 73 97 421 2993 3977 7081 17261 30733 40837 290321 1260053 1674317 2981101 122225141