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144324220 = 225173113693
BaseRepresentation
bin10001001101000…
…11011001111100
3101001120102121111
420212203121330
5243421333340
622153211404
73401510215
oct1046433174
9331512544
10144324220
1174515a17
1240400b64
1323b92661
141524c40c
15ca0caea
hex89a367c

144324220 has 48 divisors (see below), whose sum is σ = 331285248. Its totient is φ = 52577280.

The previous prime is 144324199. The next prime is 144324221. The reversal of 144324220 is 22423441.

It is a happy number.

144324220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144324191 and 144324200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144324221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694 + ... + 17386.

It is an arithmetic number, because the mean of its divisors is an integer number (6901776).

Almost surely, 2144324220 is an apocalyptic number.

144324220 is a gapful number since it is divisible by the number (10) 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 144324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165642624).

144324220 is an abundant number, since it is smaller than the sum of its proper divisors (186961028).

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

144324220 is a wasteful number, since it uses less digits than its factorization.

144324220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13750 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144324220 is about 12013.5015711490. The cubic root of 144324220 is about 524.5413621131.

Adding to 144324220 its reverse (22423441), we get a palindrome (166747661).

It can be divided in two parts, 14 and 4324220, that added together give a palindrome (4324234).

The spelling of 144324220 in words is "one hundred forty-four million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 13693 27386 54772 68465 136930 232781 273860 424483 465562 848966 931124 1163905 1697932 2122415 2327810 4244830 4655620 7216211 8489660 14432422 28864844 36081055 72162110 144324220