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120120228 = 223222714699
BaseRepresentation
bin1110010100011…
…10001110100100
322101000201222100
413022032032210
5221222321403
615530332100
72656001514
oct712161644
9271021870
10120120228
1161894118
123428a030
131bb69877
1411d4b844
15a82b2a3
hex728e3a4

120120228 has 36 divisors (see below), whose sum is σ = 304995600. Its totient is φ = 39860976.

The previous prime is 120120227. The next prime is 120120251. The reversal of 120120228 is 822021021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120120228.

It is not an unprimeable number, because it can be changed into a prime (120120227) 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 11 ways as a sum of consecutive naturals, for example, 823 + ... + 15521.

It is an arithmetic number, because the mean of its divisors is an integer number (8472100).

Almost surely, 2120120228 is an apocalyptic number.

120120228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120120228 is an abundant number, since it is smaller than the sum of its proper divisors (184875372).

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

120120228 is a wasteful number, since it uses less digits than its factorization.

120120228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120120228 is about 10959.9374085804. The cubic root of 120120228 is about 493.4070864087.

Adding to 120120228 its reverse (822021021), we get a palindrome (942141249).

The spelling of 120120228 in words is "one hundred twenty million, one hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 14699 29398 44097 58796 88194 132291 176388 264582 529164 3336673 6673346 10010019 13346692 20020038 30030057 40040076 60060114 120120228