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144386220 = 223511317057
BaseRepresentation
bin10001001101100…
…10100010101100
3101001200120122210
420212302202230
5243430324340
622154410420
73402156036
oct1046624254
9331616583
10144386220
1174558560
1240430a10
1323bb4944
1415266c56
15ca21180
hex89b28ac

144386220 has 96 divisors (see below), whose sum is σ = 455325696. Its totient is φ = 33868800.

The previous prime is 144386201. The next prime is 144386261. The reversal of 144386220 is 22683441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16932 + ... + 23988.

It is an arithmetic number, because the mean of its divisors is an integer number (4742976).

Almost surely, 2144386220 is an apocalyptic number.

144386220 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 144386220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227662848).

144386220 is an abundant number, since it is smaller than the sum of its proper divisors (310939476).

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

144386220 is a wasteful number, since it uses less digits than its factorization.

144386220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 144386220 is about 12016.0817240896. The cubic root of 144386220 is about 524.6164636417.

The spelling of 144386220 in words is "one hundred forty-four million, three hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 7057 10230 14114 20460 21171 28228 35285 42342 70570 77627 84684 105855 141140 155254 211710 218767 232881 310508 388135 423420 437534 465762 656301 776270 875068 931524 1093835 1164405 1312602 1552540 2187670 2328810 2406437 2625204 3281505 4375340 4657620 4812874 6563010 7219311 9625748 12032185 13126020 14438622 24064370 28877244 36096555 48128740 72193110 144386220