Search a number
-
+
4220172 = 22321110657
BaseRepresentation
bin10000000110010100001100
321221101222200
4100012110030
52040021142
6230241500
750604465
oct20062414
97841880
104220172
112422750
1214b6290
13b49b58
147bbd6c
1558564c
hex40650c

4220172 has 36 divisors (see below), whose sum is σ = 11638536. Its totient is φ = 1278720.

The previous prime is 4220143. The next prime is 4220173. The reversal of 4220172 is 2710224.

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 not an unprimeable number, because it can be changed into a prime (4220173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4933 + ... + 5724.

Almost surely, 24220172 is an apocalyptic number.

It is an amenable number.

4220172 is an abundant number, since it is smaller than the sum of its proper divisors (7418364).

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

4220172 is a wasteful number, since it uses less digits than its factorization.

4220172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4220172 is about 2054.3057221358. The cubic root of 4220172 is about 161.6007544160.

Adding to 4220172 its reverse (2710224), we get a palindrome (6930396).

The spelling of 4220172 in words is "four million, two hundred twenty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10657 21314 31971 42628 63942 95913 117227 127884 191826 234454 351681 383652 468908 703362 1055043 1406724 2110086 4220172