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122220032 = 291121701
BaseRepresentation
bin1110100100011…
…10111000000000
322111222102100212
413102032320000
5222242020112
620043333252
73012565424
oct722167000
9274872325
10122220032
1162a987a0
1234b21228
131c42355c
1412336b84
15aae3522
hex748ee00

122220032 has 40 divisors (see below), whose sum is σ = 266413752. Its totient is φ = 55552000.

The previous prime is 122220019. The next prime is 122220037. The reversal of 122220032 is 230022221.

It is a junction number, because it is equal to n+sod(n) for n = 122219989 and 122220016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5219 + ... + 16482.

Almost surely, 2122220032 is an apocalyptic number.

It is an amenable number.

122220032 is an abundant number, since it is smaller than the sum of its proper divisors (144193720).

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

122220032 is an equidigital number, since it uses as much as digits as its factorization.

122220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21730 (or 21714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 122220032 is about 11055.3169108805. The cubic root of 122220032 is about 496.2655532563.

Adding to 122220032 its reverse (230022221), we get a palindrome (352242253).

The spelling of 122220032 in words is "one hundred twenty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 21701 43402 86804 173608 238711 347216 477422 694432 954844 1388864 1909688 2777728 3819376 5555456 7638752 11110912 15277504 30555008 61110016 122220032