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144221000 = 23537111873
BaseRepresentation
bin10001001100010…
…10001101001000
3101001101012000112
420212022031020
5243410033000
622151053452
73400600250
oct1046121510
9331335015
10144221000
1174455410
1240371288
1323b57691
1415222960
15c9dc235
hex898a348

144221000 has 128 divisors (see below), whose sum is σ = 420975360. Its totient is φ = 44928000.

The previous prime is 144220997. The next prime is 144221027. The reversal of 144221000 is 122441.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 76064 + ... + 77936.

It is an arithmetic number, because the mean of its divisors is an integer number (3288870).

Almost surely, 2144221000 is an apocalyptic number.

144221000 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 144221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210487680).

144221000 is an abundant number, since it is smaller than the sum of its proper divisors (276754360).

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

144221000 is a wasteful number, since it uses less digits than its factorization.

144221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 144221000 is about 12009.2048029834. The cubic root of 144221000 is about 524.4162824552.

Adding to 144221000 its reverse (122441), we get a palindrome (144343441).

The spelling of 144221000 in words is "one hundred forty-four million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1873 1925 2200 2750 3080 3500 3746 3850 5500 7000 7492 7700 9365 9625 11000 13111 14984 15400 18730 19250 20603 26222 37460 38500 41206 46825 52444 65555 74920 77000 82412 93650 103015 104888 131110 144221 164824 187300 206030 234125 262220 288442 327775 374600 412060 468250 515075 524440 576884 655550 721105 824120 936500 1030150 1153768 1311100 1442210 1638875 1873000 2060300 2575375 2622200 2884420 3277750 3605525 4120600 5150750 5768840 6555500 7211050 10301500 13111000 14422100 18027625 20603000 28844200 36055250 72110500 144221000