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144221880 = 233511176427
BaseRepresentation
bin10001001100010…
…10011010111000
3101001101020020010
420212022122320
5243410100010
622151101520
73400602645
oct1046123270
9331336203
10144221880
1174456040
12403718a0
1323b57bba
1415222dcc
15c9dc620
hex898a6b8

144221880 has 128 divisors (see below), whose sum is σ = 499841280. Its totient is φ = 32901120.

The previous prime is 144221849. The next prime is 144221963. The reversal of 144221880 is 88122441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 19227 + ... + 25653.

It is an arithmetic number, because the mean of its divisors is an integer number (3905010).

Almost surely, 2144221880 is an apocalyptic number.

144221880 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 144221880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249920640).

144221880 is an abundant number, since it is smaller than the sum of its proper divisors (355619400).

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

144221880 is a wasteful number, since it uses less digits than its factorization.

144221880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 144221880 is about 12009.2414414900. The cubic root of 144221880 is about 524.4173490715.

The spelling of 144221880 in words is "one hundred forty-four million, two hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 6427 7480 11220 12854 19281 22440 25708 32135 38562 51416 64270 70697 77124 96405 109259 128540 141394 154248 192810 212091 218518 257080 282788 327777 353485 385620 424182 437036 546295 565576 655554 706970 771240 848364 874072 1060455 1092590 1201849 1311108 1413940 1638885 1696728 2120910 2185180 2403698 2622216 2827880 3277770 3605547 4241820 4370360 4807396 6009245 6555540 7211094 8483640 9614792 12018490 13111080 14422188 18027735 24036980 28844376 36055470 48073960 72110940 144221880