Search a number
-
+
144222132 = 22347255713
BaseRepresentation
bin10001001100010…
…10011110110100
3101001101020120110
420212022132310
5243410102012
622151103020
73400603455
oct1046123664
9331336513
10144222132
117445624a
1240371a70
1323b58052
141522312c
15c9dc73c
hex898a7b4

144222132 has 24 divisors (see below), whose sum is σ = 343679616. Its totient is φ = 47051008.

The previous prime is 144222131. The next prime is 144222157. The reversal of 144222132 is 231222441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144222099 and 144222108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144222131) 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 7 ways as a sum of consecutive naturals, for example, 127293 + ... + 128420.

It is an arithmetic number, because the mean of its divisors is an integer number (14319984).

Almost surely, 2144222132 is an apocalyptic number.

144222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144222132 is an abundant number, since it is smaller than the sum of its proper divisors (199457484).

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

144222132 is a wasteful number, since it uses less digits than its factorization.

144222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255767 (or 255765 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 144222132 is about 12009.2519334053. The cubic root of 144222132 is about 524.4176545108.

Adding to 144222132 its reverse (231222441), we get a palindrome (375444573).

The spelling of 144222132 in words is "one hundred forty-four million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 255713 511426 767139 1022852 1534278 3068556 12018511 24037022 36055533 48074044 72111066 144222132