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23142177 = 321373
BaseRepresentation
bin101100001000…
…1111100100001
31121112202002200
41120101330201
521411022202
62144003413
7400463622
oct130217441
947482080
1023142177
1112077073
127900569
134a436c6
143105a49
152071e1c
hex1611f21

23142177 has 12 divisors (see below), whose sum is σ = 33673380. Its totient is φ = 15315504.

The previous prime is 23142173. The next prime is 23142179. The reversal of 23142177 is 77124132.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23142177 is a `hidden beast` number, since 231 + 421 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5803281 + 17338896 = 2409^2 + 4164^2 .

It is not a de Polignac number, because 23142177 - 22 = 23142173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23142177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142173) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 168853 + ... + 168989.

It is an arithmetic number, because the mean of its divisors is an integer number (2806115).

Almost surely, 223142177 is an apocalyptic number.

It is an amenable number.

23142177 is a deficient number, since it is larger than the sum of its proper divisors (10531203).

23142177 is an frugal number, since it uses more digits than its factorization.

23142177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 140 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 23142177 is about 4810.6316633058. The cubic root of 23142177 is about 284.9714837581.

The spelling of 23142177 in words is "twenty-three million, one hundred forty-two thousand, one hundred seventy-seven".

Divisors: 1 3 9 137 411 1233 18769 56307 168921 2571353 7714059 23142177