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144430220 = 225111993299
BaseRepresentation
bin10001001101111…
…01010010001100
3101001202211000102
420212331102030
5243433231340
622155350232
73402431234
oct1046752214
9331684012
10144430220
1174588620
1240452378
1323bcb98c
1415278cc4
15ca2e215
hex89bd48c

144430220 has 48 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 52240320.

The previous prime is 144430219. The next prime is 144430241. The reversal of 144430220 is 22034441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144430192 and 144430201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42131 + ... + 45429.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2144430220 is an apocalyptic number.

144430220 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 144430220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

144430220 is an abundant number, since it is smaller than the sum of its proper divisors (188209780).

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

144430220 is a wasteful number, since it uses less digits than its factorization.

144430220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144430220 is about 12017.9124643176. The cubic root of 144430220 is about 524.6697484589.

Adding to 144430220 its reverse (22034441), we get a palindrome (166464661).

The spelling of 144430220 in words is "one hundred forty-four million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3299 3980 4378 6598 8756 10945 13196 16495 21890 32990 36289 43780 65980 72578 145156 181445 362890 656501 725780 1313002 2626004 3282505 6565010 7221511 13130020 14443022 28886044 36107555 72215110 144430220