Search a number
-
+
120166220 = 22517333467
BaseRepresentation
bin1110010100110…
…01011101001100
322101010002001202
413022121131030
5221230304340
615531325032
72656252556
oct712313514
9271102052
10120166220
1161915729
12342b0778
131bb84795
1411d604d6
15a839c15
hex729974c

120166220 has 24 divisors (see below), whose sum is σ = 252567504. Its totient is φ = 48024896.

The previous prime is 120166213. The next prime is 120166229. The reversal of 120166220 is 22661021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120166192 and 120166201.

It is not an unprimeable number, because it can be changed into a prime (120166229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32927 + ... + 36393.

It is an arithmetic number, because the mean of its divisors is an integer number (10523646).

Almost surely, 2120166220 is an apocalyptic number.

120166220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120166220 is an abundant number, since it is smaller than the sum of its proper divisors (132401284).

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

120166220 is a wasteful number, since it uses less digits than its factorization.

120166220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 120166220 is about 10962.0353949438. The cubic root of 120166220 is about 493.4700507778.

120166220 divided by its sum of digits (20) gives a triangular number (6008311 = T3466).

The spelling of 120166220 in words is "one hundred twenty million, one hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1733 3466 3467 6932 6934 8665 13868 17330 17335 34660 34670 69340 6008311 12016622 24033244 30041555 60083110 120166220