Search a number
-
+
141122232 = 233211031777
BaseRepresentation
bin10000110100101…
…01101010111000
3100211112202022100
420122111222320
5242111402412
622000423400
73332343036
oct1032255270
9324482270
10141122232
1172729249
123b317b60
13233110a4
1414a57556
15c5c8edc
hex8695ab8

141122232 has 48 divisors (see below), whose sum is σ = 382767840. Its totient is φ = 46971648.

The previous prime is 141122209. The next prime is 141122237. The reversal of 141122232 is 232221141.

It is a happy number.

141122232 is a `hidden beast` number, since 1 + 411 + 22 + 232 = 666.

141122232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122237) 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 11 ways as a sum of consecutive naturals, for example, 78528 + ... + 80304.

It is an arithmetic number, because the mean of its divisors is an integer number (7974330).

Almost surely, 2141122232 is an apocalyptic number.

141122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141122232 is an abundant number, since it is smaller than the sum of its proper divisors (241645608).

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

141122232 is a wasteful number, since it uses less digits than its factorization.

141122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2885 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 141122232 is about 11879.4878677492. The cubic root of 141122232 is about 520.6331439682.

Adding to 141122232 its reverse (232221141), we get a palindrome (373343373).

The spelling of 141122232 in words is "one hundred forty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1103 1777 2206 3309 3554 4412 5331 6618 7108 8824 9927 10662 13236 14216 15993 19854 21324 26472 31986 39708 42648 63972 79416 127944 1960031 3920062 5880093 7840124 11760186 15680248 17640279 23520372 35280558 47040744 70561116 141122232