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122220020 = 22513470077
BaseRepresentation
bin1110100100011…
…10110111110100
322111222102100102
413102032313310
5222242020040
620043333232
73012565406
oct722166764
9274872312
10122220020
1162a9878a
1234b21218
131c423550
1412336b76
15aae3515
hex748edf4

122220020 has 24 divisors (see below), whose sum is σ = 276405864. Its totient is φ = 45127296.

The previous prime is 122220019. The next prime is 122220037. The reversal of 122220020 is 20022221.

It can be written as a sum of positive squares in 4 ways, for example, as 2010724 + 120209296 = 1418^2 + 10964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122219983 and 122220010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234779 + ... + 235298.

It is an arithmetic number, because the mean of its divisors is an integer number (11516911).

Almost surely, 2122220020 is an apocalyptic number.

122220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220020 is an abundant number, since it is smaller than the sum of its proper divisors (154185844).

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

122220020 is a wasteful number, since it uses less digits than its factorization.

122220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470099 (or 470097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122220020 is about 11055.3163681552. The cubic root of 122220020 is about 496.2655370146.

Adding to 122220020 its reverse (20022221), we get a palindrome (142242241).

The spelling of 122220020 in words is "one hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 470077 940154 1880308 2350385 4700770 6111001 9401540 12222002 24444004 30555005 61110010 122220020