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122414430 = 2357355897
BaseRepresentation
bin1110100101111…
…10010101011110
322112100022000210
413102332111132
5222314230210
620051433250
73014335245
oct722762536
9275308023
10122414430
1163110856
1234bb5826
131c490b98
141238795c
15ab30e20
hex74be55e

122414430 has 32 divisors (see below), whose sum is σ = 297824544. Its totient is φ = 32196096.

The previous prime is 122414429. The next prime is 122414431. The reversal of 122414430 is 34414221.

It is an interprime number because it is at equal distance from previous prime (122414429) and next prime (122414431).

It is a junction number, because it is equal to n+sod(n) for n = 122414397 and 122414406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122414431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25759 + ... + 30138.

It is an arithmetic number, because the mean of its divisors is an integer number (9307017).

Almost surely, 2122414430 is an apocalyptic number.

122414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122414430 is an abundant number, since it is smaller than the sum of its proper divisors (175410114).

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

122414430 is a wasteful number, since it uses less digits than its factorization.

122414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55980.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122414430 is about 11064.1054767207. The cubic root of 122414430 is about 496.5285268621.

Adding to 122414430 its reverse (34414221), we get a palindrome (156828651).

The spelling of 122414430 in words is "one hundred twenty-two million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 55897 111794 167691 279485 335382 558970 838455 1676910 4080481 8160962 12241443 20402405 24482886 40804810 61207215 122414430