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144536220 = 22325802979
BaseRepresentation
bin10001001110101…
…11001010011100
3101001222012102100
420213113022130
5244000124340
622201525100
73403352253
oct1047271234
9331865370
10144536220
1174650224
12404a3790
1323c37cba
14152a579a
15ca50830
hex89d729c

144536220 has 36 divisors (see below), whose sum is σ = 438427080. Its totient is φ = 38542944.

The previous prime is 144536213. The next prime is 144536237. The reversal of 144536220 is 22635441.

144536220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 401310 + ... + 401669.

It is an arithmetic number, because the mean of its divisors is an integer number (12178530).

Almost surely, 2144536220 is an apocalyptic number.

144536220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144536220 is an abundant number, since it is smaller than the sum of its proper divisors (293890860).

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

144536220 is a wasteful number, since it uses less digits than its factorization.

144536220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802994 (or 802989 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144536220 is about 12022.3217391650. The cubic root of 144536220 is about 524.7980720033.

The spelling of 144536220 in words is "one hundred forty-four million, five hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 802979 1605958 2408937 3211916 4014895 4817874 7226811 8029790 9635748 12044685 14453622 16059580 24089370 28907244 36134055 48178740 72268110 144536220