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144222220 = 225172914627
BaseRepresentation
bin10001001100010…
…10100000001100
3101001101020200201
420212022200030
5243410102340
622151103244
73400603642
oct1046124014
9331336621
10144222220
117445631a
1240371b24
1323b580bc
1415223192
15c9dc79a
hex898a80c

144222220 has 48 divisors (see below), whose sum is σ = 331763040. Its totient is φ = 52419584.

The previous prime is 144222193. The next prime is 144222251. The reversal of 144222220 is 22222441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2547 + ... + 17173.

It is an arithmetic number, because the mean of its divisors is an integer number (6911730).

Almost surely, 2144222220 is an apocalyptic number.

144222220 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 144222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165881520).

144222220 is an abundant number, since it is smaller than the sum of its proper divisors (187540820).

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

144222220 is a wasteful number, since it uses less digits than its factorization.

144222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 144222220 is about 12009.2555972467. The cubic root of 144222220 is about 524.4177611721.

Adding to 144222220 its reverse (22222441), we get a palindrome (166444661).

The spelling of 144222220 in words is "one hundred forty-four million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 14627 29254 58508 73135 146270 248659 292540 424183 497318 848366 994636 1243295 1696732 2120915 2486590 4241830 4973180 7211111 8483660 14422222 28844444 36055555 72111110 144222220