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2260500 = 2235311137
BaseRepresentation
bin1000100111111000010100
311020211211020
420213320110
51034314000
6120241140
725133244
oct10477024
94224736
102260500
111304390
129101b0
13611b98
1442bb24
152e9ba0
hex227e14

2260500 has 96 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 544000.

The previous prime is 2260499. The next prime is 2260501. The reversal of 2260500 is 50622.

2260500 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (2260499) and next prime (2260501).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2260500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16432 + ... + 16568.

It is an arithmetic number, because the mean of its divisors is an integer number (75348).

22260500 is an apocalyptic number.

2260500 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 2260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2260500 is an abundant number, since it is smaller than the sum of its proper divisors (4972908).

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

2260500 is a wasteful number, since it uses less digits than its factorization.

2260500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2260500 is about 1503.4959261667. The cubic root of 2260500 is about 131.2405888944.

It can be divided in two parts, 22 and 60500, that multiplied together give a cube (1331000 = 1103).

The spelling of 2260500 in words is "two million, two hundred sixty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 137 150 165 220 250 274 275 300 330 375 411 500 548 550 660 685 750 822 825 1100 1370 1375 1500 1507 1644 1650 2055 2740 2750 3014 3300 3425 4110 4125 4521 5500 6028 6850 7535 8220 8250 9042 10275 13700 15070 16500 17125 18084 20550 22605 30140 34250 37675 41100 45210 51375 68500 75350 90420 102750 113025 150700 188375 205500 226050 376750 452100 565125 753500 1130250 2260500