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18002250 = 234537127
BaseRepresentation
bin100010010101…
…1000101001010
31020212121110000
41010223011022
514102033000
61441503430
7306005460
oct104530512
936777400
1018002250
11a1863a2
126041b76
133964026
142568830
1518a9000
hex112b14a

18002250 has 160 divisors (see below), whose sum is σ = 57987072. Its totient is φ = 4082400.

The previous prime is 18002249. The next prime is 18002273. The reversal of 18002250 is 5220081.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141687 + ... + 141813.

It is a vampire number, since it can be written as 22508001 (with its own digits).

Almost surely, 218002250 is an apocalyptic number.

18002250 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 18002250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28993536).

18002250 is an abundant number, since it is smaller than the sum of its proper divisors (39984822).

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

18002250 is a wasteful number, since it uses less digits than its factorization.

18002250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18002250 is about 4242.9058438763. The cubic root of 18002250 is about 262.0850587217.

The spelling of 18002250 in words is "eighteen million, two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 127 135 150 162 175 189 210 225 250 254 270 315 350 375 378 381 405 450 525 567 630 635 675 750 762 810 875 889 945 1050 1125 1134 1143 1270 1350 1575 1750 1778 1890 1905 2025 2250 2286 2625 2667 2835 3150 3175 3375 3429 3810 4050 4445 4725 5250 5334 5670 5715 6350 6750 6858 7875 8001 8890 9450 9525 10125 10287 11430 13335 14175 15750 15875 16002 17145 19050 20250 20574 22225 23625 24003 26670 28350 28575 31750 34290 40005 44450 47250 47625 48006 51435 57150 66675 70875 72009 80010 85725 95250 102870 111125 120015 133350 141750 142875 144018 171450 200025 222250 240030 257175 285750 333375 360045 400050 428625 514350 600075 666750 720090 857250 1000125 1200150 1285875 1800225 2000250 2571750 3000375 3600450 6000750 9001125 18002250