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144122232 = 233231571663
BaseRepresentation
bin10001001011100…
…10000101111000
3101001012011112110
420211302011320
5243343402412
622145012320
73400006302
oct1045620570
9331164473
10144122232
1174398191
12403240a0
1323b21737
14151d8972
15c9bcd3c
hex8972178

144122232 has 64 divisors (see below), whose sum is σ = 378593280. Its totient is φ = 45631872.

The previous prime is 144122227. The next prime is 144122249. The reversal of 144122232 is 232221441.

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 = 144122199 and 144122208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85833 + ... + 87495.

It is an arithmetic number, because the mean of its divisors is an integer number (5915520).

Almost surely, 2144122232 is an apocalyptic number.

144122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189296640).

144122232 is an abundant number, since it is smaller than the sum of its proper divisors (234471048).

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

144122232 is a wasteful number, since it uses less digits than its factorization.

144122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1848 counting only the distinct ones).

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

The square root of 144122232 is about 12005.0919196814. The cubic root of 144122232 is about 524.2965417431.

Adding to 144122232 its reverse (232221441), we get a palindrome (376343673).

The spelling of 144122232 in words is "one hundred forty-four million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 157 184 276 314 471 552 628 942 1256 1663 1884 3326 3611 3768 4989 6652 7222 9978 10833 13304 14444 19956 21666 28888 38249 39912 43332 76498 86664 114747 152996 229494 261091 305992 458988 522182 783273 917976 1044364 1566546 2088728 3133092 6005093 6266184 12010186 18015279 24020372 36030558 48040744 72061116 144122232