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122193441 = 341508561
BaseRepresentation
bin1110100100010…
…00011000100001
322111221001220000
413102020120201
5222240142231
620043010213
73012425046
oct722103041
9274831800
10122193441
1162a7a817
1234b09969
131c414416
141232b1cd
15aada6e6
hex7488621

122193441 has 10 divisors (see below), whose sum is σ = 182536002. Its totient is φ = 81462240.

The previous prime is 122193377. The next prime is 122193473. The reversal of 122193441 is 144391221.

It is a happy number.

122193441 is a `hidden beast` number, since 1 + 2 + 219 + 3 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108243216 + 13950225 = 10404^2 + 3735^2 .

It is not a de Polignac number, because 122193441 - 26 = 122193377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122191441) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 754200 + ... + 754361.

Almost surely, 2122193441 is an apocalyptic number.

It is an amenable number.

122193441 is a deficient number, since it is larger than the sum of its proper divisors (60342561).

122193441 is an equidigital number, since it uses as much as digits as its factorization.

122193441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508573 (or 1508564 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 122193441 is about 11054.1142114599. The cubic root of 122193441 is about 496.2295603719.

The spelling of 122193441 in words is "one hundred twenty-two million, one hundred ninety-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 1508561 4525683 13577049 40731147 122193441