Search a number
-
+
162224153 = 72132331093
BaseRepresentation
bin10011010101101…
…01100000011001
3102022020211200222
421222311200121
5313012133103
624033005425
74006611500
oct1152654031
9368224628
10162224153
1183631453
12463b3875
13277bbc30
141778b837
15e396638
hex9ab5819

162224153 has 24 divisors (see below), whose sum is σ = 204284808. Its totient is φ = 127685376.

The previous prime is 162224087. The next prime is 162224159. The reversal of 162224153 is 351422261.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21279769 + 140944384 = 4613^2 + 11872^2 .

It is not a de Polignac number, because 162224153 - 212 = 162220057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162224159) 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 23 ways as a sum of consecutive naturals, for example, 147875 + ... + 148967.

It is an arithmetic number, because the mean of its divisors is an integer number (8511867).

Almost surely, 2162224153 is an apocalyptic number.

162224153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

162224153 is a deficient number, since it is larger than the sum of its proper divisors (42060655).

162224153 is a wasteful number, since it uses less digits than its factorization.

162224153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1346 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 162224153 is about 12736.7245789489. The cubic root of 162224153 is about 545.3874897728.

The spelling of 162224153 in words is "one hundred sixty-two million, two hundred twenty-four thousand, one hundred fifty-three".

Divisors: 1 7 13 49 91 233 637 1093 1631 3029 7651 11417 14209 21203 53557 99463 148421 254669 696241 1782683 3310697 12478781 23174879 162224153