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144221220 = 2232511132431
BaseRepresentation
bin10001001100010…
…10010000100100
3101001101012022200
420212022100210
5243410034340
622151054500
73400601013
oct1046122044
9331335280
10144221220
11744555a0
1240371430
1323b57800
1415222a7a
15c9dc330
hex898a424

144221220 has 216 divisors, whose sum is σ = 517974912. Its totient is φ = 32198400.

The previous prime is 144221213. The next prime is 144221237. The reversal of 144221220 is 22122441.

144221220 is a `hidden beast` number, since 1 + 442 + 2 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144221193 and 144221202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334405 + ... + 334835.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2144221220 is an apocalyptic number.

144221220 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 144221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

144221220 is an abundant number, since it is smaller than the sum of its proper divisors (373753692).

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

144221220 is a wasteful number, since it uses less digits than its factorization.

144221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144221220 is about 12009.2139626205. The cubic root of 144221220 is about 524.4165491097.

Adding to 144221220 its reverse (22122441), we get a palindrome (166343661).

It can be divided in two parts, 144221 and 220, that added together give a palindrome (144441).

The spelling of 144221220 in words is "one hundred forty-four million, two hundred twenty-one thousand, two hundred twenty".