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2220900 = 2235211673
BaseRepresentation
bin1000011110001101100100
311011211111120
420132031210
51032032100
6115333540
724606633
oct10361544
94154446
102220900
111287660
128b12b0
135c9b56
1441b51a
152dd0a0
hex21e364

2220900 has 72 divisors (see below), whose sum is σ = 7020384. Its totient is φ = 537600.

The previous prime is 2220893. The next prime is 2220913. The reversal of 2220900 is 90222.

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 2220900.

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, 2964 + ... + 3636.

22220900 is an apocalyptic number.

2220900 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 2220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510192).

2220900 is an abundant number, since it is smaller than the sum of its proper divisors (4799484).

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

2220900 is a wasteful number, since it uses less digits than its factorization.

2220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2220900 is about 1490.2684321960. The cubic root of 2220900 is about 130.4697012791.

The spelling of 2220900 in words is "two million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 673 825 1100 1346 1650 2019 2692 3300 3365 4038 6730 7403 8076 10095 13460 14806 16825 20190 22209 29612 33650 37015 40380 44418 50475 67300 74030 88836 100950 111045 148060 185075 201900 222090 370150 444180 555225 740300 1110450 2220900