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2250000 = 243256
BaseRepresentation
bin1000100101010100010000
311020022102100
420211110100
51034000000
6120120400
725060524
oct10452420
94208370
102250000
1112a7505
12906100
1360a17c
14427d84
152e6a00
hex225510

2250000 has 105 divisors (see below), whose sum is σ = 7870993. Its totient is φ = 600000.

The previous prime is 2249987. The next prime is 2250013. The reversal of 2250000 is 522.

Adding to 2250000 its reverse (522), we get a palindrome (2250522).

The square root of 2250000 is 1500.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2249987) and next prime (2250013).

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 278784 = 1404^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 449998 + ... + 450002.

22250000 is an apocalyptic number.

2250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2250000 is the 1500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250000

2250000 is an abundant number, since it is smaller than the sum of its proper divisors (5620993).

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

2250000 is an frugal number, since it uses more digits than its factorization.

2250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The cubic root of 2250000 is about 131.0370697104.

The spelling of 2250000 in words is "two million, two hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3125 3600 3750 4500 5000 5625 6000 6250 7500 9000 9375 10000 11250 12500 15000 15625 18000 18750 22500 25000 28125 30000 31250 37500 45000 46875 50000 56250 62500 75000 90000 93750 112500 125000 140625 150000 187500 225000 250000 281250 375000 450000 562500 750000 1125000 2250000