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155100168 = 23322154169
BaseRepresentation
bin10010011111010…
…10010000001000
3101210211220102200
421033222100020
5304201201133
623220200200
73562221036
oct1117522010
9353756380
10155100168
117a606063
1243b39060
1326196462
1416855556
15d93a913
hex93ea408

155100168 has 24 divisors (see below), whose sum is σ = 420063150. Its totient is φ = 51700032.

The previous prime is 155100151. The next prime is 155100193. The reversal of 155100168 is 861001551.

155100168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125484804 + 29615364 = 11202^2 + 5442^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1551001682 = 48112124227256448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1077013 + ... + 1077156.

Almost surely, 2155100168 is an apocalyptic number.

155100168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

155100168 is an abundant number, since it is smaller than the sum of its proper divisors (264962982).

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

155100168 is a wasteful number, since it uses less digits than its factorization.

155100168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154181 (or 2154174 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 155100168 is about 12453.9217919497. The cubic root of 155100168 is about 537.2842247658.

The spelling of 155100168 in words is "one hundred fifty-five million, one hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2154169 4308338 6462507 8616676 12925014 17233352 19387521 25850028 38775042 51700056 77550084 155100168