Search a number
-
+
2250300 = 2235213577
BaseRepresentation
bin1000100101011000111100
311020022211110
420211120330
51034002200
6120122020
725061433
oct10453074
94208743
102250300
1112a7758
12906310
1360a350
1442811a
152e6b50
hex22563c

2250300 has 72 divisors (see below), whose sum is σ = 7023856. Its totient is φ = 552960.

The previous prime is 2250263. The next prime is 2250337. The reversal of 2250300 is 30522.

It is an interprime number because it is at equal distance from previous prime (2250263) and next prime (2250337).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612 + ... + 4188.

22250300 is an apocalyptic number.

2250300 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 2250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511928).

2250300 is an abundant number, since it is smaller than the sum of its proper divisors (4773556).

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

2250300 is a wasteful number, since it uses less digits than its factorization.

2250300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2250300 is about 1500.0999966669. The cubic root of 2250300 is about 131.0428933214.

Adding to 2250300 its reverse (30522), we get a palindrome (2280822).

The spelling of 2250300 in words is "two million, two hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 577 650 780 975 1154 1300 1731 1950 2308 2885 3462 3900 5770 6924 7501 8655 11540 14425 15002 17310 22503 28850 30004 34620 37505 43275 45006 57700 75010 86550 90012 112515 150020 173100 187525 225030 375050 450060 562575 750100 1125150 2250300