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122144247 = 3331145931
BaseRepresentation
bin1110100011111…
…00010111110111
322111211120102000
413101330113313
5222232103442
620041550343
73012131451
oct721742767
9274746360
10122144247
1162a46865
1234aa53b3
131c3c7c04
14123172d1
15aacad4c
hex747c5f7

122144247 has 16 divisors (see below), whose sum is σ = 186792960. Its totient is φ = 78802200.

The previous prime is 122144233. The next prime is 122144251. The reversal of 122144247 is 742441221.

It is not a de Polignac number, because 122144247 - 219 = 121619959 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122144247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122144227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72129 + ... + 73802.

It is an arithmetic number, because the mean of its divisors is an integer number (11674560).

Almost surely, 2122144247 is an apocalyptic number.

122144247 is a deficient number, since it is larger than the sum of its proper divisors (64648713).

122144247 is a wasteful number, since it uses less digits than its factorization.

122144247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145971 (or 145965 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 122144247 is about 11051.8888430892. Note that the first 4 decimals coincide. The cubic root of 122144247 is about 496.1629588874.

Adding to 122144247 its reverse (742441221), we get a palindrome (864585468).

It can be divided in two parts, 12214 and 4247, that added together give a palindrome (16461).

The spelling of 122144247 in words is "one hundred twenty-two million, one hundred forty-four thousand, two hundred forty-seven".

Divisors: 1 3 9 27 31 93 279 837 145931 437793 1313379 3940137 4523861 13571583 40714749 122144247