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122144416 = 2534910937
BaseRepresentation
bin1110100011111…
…00011010100000
322111211120122021
413101330122200
5222232110131
620041551224
73012132112
oct721743240
9274746567
10122144416
1162a469a9
1234aa5514
131c3c8004
14123173b2
15aacae11
hex747c6a0

122144416 has 24 divisors (see below), whose sum is σ = 241182900. Its totient is φ = 60891648.

The previous prime is 122144413. The next prime is 122144423. The reversal of 122144416 is 614441221.

It can be written as a sum of positive squares in 2 ways, for example, as 102819600 + 19324816 = 10140^2 + 4396^2 .

It is not an unprimeable number, because it can be changed into a prime (122144413) 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 3 ways as a sum of consecutive naturals, for example, 5700 + ... + 16636.

Almost surely, 2122144416 is an apocalyptic number.

122144416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122144416 is a deficient number, since it is larger than the sum of its proper divisors (119038484).

122144416 is a wasteful number, since it uses less digits than its factorization.

122144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11288 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 122144416 is about 11051.8964888385. The cubic root of 122144416 is about 496.1631877193.

Adding to 122144416 its reverse (614441221), we get a palindrome (736585637).

The spelling of 122144416 in words is "one hundred twenty-two million, one hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 349 698 1396 2792 5584 10937 11168 21874 43748 87496 174992 349984 3817013 7634026 15268052 30536104 61072208 122144416