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122424414 = 2372914867
BaseRepresentation
bin1110100110000…
…00110001011110
322112100210201120
413103000301132
5222320040124
620051551410
73014406330
oct723006136
9275323646
10122424414
1163118302
1234bbb566
131c4955a8
141238b450
15ab33d79
hex74c0c5e

122424414 has 16 divisors (see below), whose sum is σ = 279827328. Its totient is φ = 34978392.

The previous prime is 122424413. The next prime is 122424427. The reversal of 122424414 is 414424221.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424413) 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, 1457392 + ... + 1457475.

It is an arithmetic number, because the mean of its divisors is an integer number (17489208).

Almost surely, 2122424414 is an apocalyptic number.

122424414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122424414 is an abundant number, since it is smaller than the sum of its proper divisors (157402914).

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

122424414 is a wasteful number, since it uses less digits than its factorization.

122424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914879.

The product of its digits is 2048, while the sum is 24.

The square root of 122424414 is about 11064.5566562786. The cubic root of 122424414 is about 496.5420252872.

Adding to 122424414 its reverse (414424221), we get a palindrome (536848635).

The spelling of 122424414 in words is "one hundred twenty-two million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 2914867 5829734 8744601 17489202 20404069 40808138 61212207 122424414