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146231361 = 3289182561
BaseRepresentation
bin10001011011101…
…01000001000001
3101012011022201100
420231311001001
5244413400421
622302125013
73423642333
oct1055650101
9335138640
10146231361
11755a8871
1240b80769
13243ac743
14155c7453
15cc87c26
hex8b75041

146231361 has 12 divisors (see below), whose sum is σ = 213597540. Its totient is φ = 96391680.

The previous prime is 146231341. The next prime is 146231381. The reversal of 146231361 is 163132641.

146231361 is a `hidden beast` number, since 1 + 4 + 623 + 1 + 36 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (146231341) and next prime (146231381).

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 55219761 = 9540^2 + 7431^2 .

It is not a de Polignac number, because 146231361 - 27 = 146231233 is a prime.

It is a super-2 number, since 2×1462313612 = 42767221879824642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146231321) 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, 90480 + ... + 92081.

It is an arithmetic number, because the mean of its divisors is an integer number (17799795).

Almost surely, 2146231361 is an apocalyptic number.

It is an amenable number.

146231361 is a deficient number, since it is larger than the sum of its proper divisors (67366179).

146231361 is a wasteful number, since it uses less digits than its factorization.

146231361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182656 (or 182653 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 146231361 is about 12092.6159700869. The cubic root of 146231361 is about 526.8417382953.

It can be divided in two parts, 1462 and 31361, that added together give a palindrome (32823).

The spelling of 146231361 in words is "one hundred forty-six million, two hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 89 267 801 182561 547683 1643049 16247929 48743787 146231361