Search a number
-
+
122177268 = 22331131271
BaseRepresentation
bin1110100100001…
…00011011110100
322111220020201000
413102010123310
5222234133033
620042403300
73012326643
oct722043364
9274806630
10122177268
1162a69654
1234b00530
131c409c55
141232535a
15aad5a13
hex74846f4

122177268 has 24 divisors (see below), whose sum is σ = 316756160. Its totient is φ = 40725720.

The previous prime is 122177267. The next prime is 122177273. The reversal of 122177268 is 862771221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122177267) 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 7 ways as a sum of consecutive naturals, for example, 565528 + ... + 565743.

Almost surely, 2122177268 is an apocalyptic number.

122177268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122177268 is an abundant number, since it is smaller than the sum of its proper divisors (194578892).

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

122177268 is a wasteful number, since it uses less digits than its factorization.

122177268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131284 (or 1131276 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 122177268 is about 11053.3826496688. The cubic root of 122177268 is about 496.2076664668.

The spelling of 122177268 in words is "one hundred twenty-two million, one hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1131271 2262542 3393813 4525084 6787626 10181439 13575252 20362878 30544317 40725756 61088634 122177268