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144452220 = 2235112101197
BaseRepresentation
bin10001001110000…
…10101001111100
3101001210221012020
420213002221330
5243434432340
622200040140
73402552333
oct1047025174
9331727166
10144452220
11745a3100
1240463050
1323c089b3
1415282d1a
15ca359d0
hex89c2a7c

144452220 has 144 divisors (see below), whose sum is σ = 451259424. Its totient is φ = 34496000.

The previous prime is 144452207. The next prime is 144452221. The reversal of 144452220 is 22254441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 733162 + ... + 733358.

It is an arithmetic number, because the mean of its divisors is an integer number (3133746).

Almost surely, 2144452220 is an apocalyptic number.

144452220 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 144452220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225629712).

144452220 is an abundant number, since it is smaller than the sum of its proper divisors (306807204).

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

144452220 is a wasteful number, since it uses less digits than its factorization.

144452220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144452220 is about 12018.8277298578. The cubic root of 144452220 is about 524.6963868093.

The spelling of 144452220 in words is "one hundred forty-four million, four hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 197 202 220 242 303 330 363 394 404 484 505 591 605 606 660 726 788 985 1010 1111 1182 1210 1212 1452 1515 1815 1970 2020 2167 2222 2364 2420 2955 3030 3333 3630 3940 4334 4444 5555 5910 6060 6501 6666 7260 8668 10835 11110 11820 12221 13002 13332 16665 19897 21670 22220 23837 24442 26004 32505 33330 36663 39794 43340 47674 48884 59691 61105 65010 66660 71511 73326 79588 95348 99485 119185 119382 122210 130020 143022 146652 183315 198970 218867 238370 238764 244420 286044 298455 357555 366630 397940 437734 476740 596910 656601 715110 733260 875468 1094335 1193820 1313202 1430220 2188670 2407537 2626404 3283005 4377340 4815074 6566010 7222611 9630148 12037685 13132020 14445222 24075370 28890444 36113055 48150740 72226110 144452220