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144226170 = 23451116187
BaseRepresentation
bin10001001100010…
…11011101111010
3101001101110010000
420212023131322
5243410214140
622151133430
73400621314
oct1046133572
9331343100
10144226170
1174459290
1240374276
1323b59b3a
14152247b4
15c9dda30
hex898b77a

144226170 has 80 divisors (see below), whose sum is σ = 423089568. Its totient is φ = 34961760.

The previous prime is 144226157. The next prime is 144226183. The reversal of 144226170 is 71622441.

144226170 is a `hidden beast` number, since 1 + 4 + 42 + 2 + 617 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144226157) and next prime (144226183).

It is a super-2 number, since 2×1442261702 = 41602376225737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 817 + ... + 17003.

Almost surely, 2144226170 is an apocalyptic number.

144226170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144226170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211544784).

144226170 is an abundant number, since it is smaller than the sum of its proper divisors (278863398).

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

144226170 is a wasteful number, since it uses less digits than its factorization.

144226170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144226170 is about 12009.4200526087. The cubic root of 144226170 is about 524.4225487636.

The spelling of 144226170 in words is "one hundred forty-four million, two hundred twenty-six thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 16187 32374 48561 80935 97122 145683 161870 178057 242805 291366 356114 437049 485610 534171 728415 874098 890285 1068342 1311147 1456830 1602513 1780570 2185245 2622294 2670855 3205026 4370490 4807539 5341710 6555735 8012565 9615078 13111470 14422617 16025130 24037695 28845234 48075390 72113085 144226170