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144220260 = 223519731733
BaseRepresentation
bin10001001100010…
…10000001100100
3101001101011000010
420212022001210
5243410022020
622151050220
73400565142
oct1046120144
9331334003
10144220260
11744548a8
1240370970
1323b57242
1415222592
15c9dbde0
hex898a064

144220260 has 96 divisors (see below), whose sum is σ = 431141760. Its totient is φ = 35914752.

The previous prime is 144220207. The next prime is 144220273. The reversal of 144220260 is 62022441.

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, 82354 + ... + 84086.

It is an arithmetic number, because the mean of its divisors is an integer number (4491060).

Almost surely, 2144220260 is an apocalyptic number.

144220260 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 144220260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215570880).

144220260 is an abundant number, since it is smaller than the sum of its proper divisors (286921500).

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

144220260 is a wasteful number, since it uses less digits than its factorization.

144220260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144220260 is about 12009.1739932437. The cubic root of 144220260 is about 524.4153855246.

The spelling of 144220260 in words is "one hundred forty-four million, two hundred twenty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 73 76 95 114 146 190 219 228 285 292 365 380 438 570 730 876 1095 1140 1387 1460 1733 2190 2774 3466 4161 4380 5199 5548 6932 6935 8322 8665 10398 13870 16644 17330 20796 20805 25995 27740 32927 34660 41610 51990 65854 83220 98781 103980 126509 131708 164635 197562 253018 329270 379527 395124 493905 506036 632545 658540 759054 987810 1265090 1518108 1897635 1975620 2403671 2530180 3795270 4807342 7211013 7590540 9614684 12018355 14422026 24036710 28844052 36055065 48073420 72110130 144220260