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2250180 = 22355463
BaseRepresentation
bin1000100101010111000100
311020022200000
420211113010
51034001210
6120121300
725061202
oct10452704
94208600
102250180
1112a7659
12906230
1360a28a
14428072
152e6ac0
hex2255c4

2250180 has 72 divisors (see below), whose sum is σ = 7093632. Its totient is φ = 598752.

The previous prime is 2250167. The next prime is 2250181. The reversal of 2250180 is 810522.

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

It is not an unprimeable number, because it can be changed into a prime (2250181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 5091.

22250180 is an apocalyptic number.

2250180 is a gapful number since it is divisible by the number (20) 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 2250180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546816).

2250180 is an abundant number, since it is smaller than the sum of its proper divisors (4843452).

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

2250180 is a wasteful number, since it uses less digits than its factorization.

2250180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

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

The square root of 2250180 is about 1500.0599988000. The cubic root of 2250180 is about 131.0405639391.

The spelling of 2250180 in words is "two million, two hundred fifty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 463 486 540 810 926 972 1215 1389 1620 1852 2315 2430 2778 4167 4630 4860 5556 6945 8334 9260 12501 13890 16668 20835 25002 27780 37503 41670 50004 62505 75006 83340 112509 125010 150012 187515 225018 250020 375030 450036 562545 750060 1125090 2250180