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2270220 = 2235157241
BaseRepresentation
bin1000101010010000001100
311021100011020
420222100030
51040121340
6120354140
725203501
oct10522014
94240136
102270220
111310717
12915950
13616434
144314a8
152ec9d0
hex22a40c

2270220 has 48 divisors (see below), whose sum is σ = 6423648. Its totient is φ = 599040.

The previous prime is 2270201. The next prime is 2270239. The reversal of 2270220 is 220722.

It is an interprime number because it is at equal distance from previous prime (2270201) and next prime (2270239).

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 2270220.

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 15 ways as a sum of consecutive naturals, for example, 9300 + ... + 9540.

It is an arithmetic number, because the mean of its divisors is an integer number (133826).

22270220 is an apocalyptic number.

2270220 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 2270220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211824).

2270220 is an abundant number, since it is smaller than the sum of its proper divisors (4153428).

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

2270220 is a wasteful number, since it uses less digits than its factorization.

2270220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2270220 is about 1506.7249251273. The cubic root of 2270220 is about 131.4284285263.

Adding to 2270220 its reverse (220722), we get a palindrome (2490942).

It can be divided in two parts, 22702 and 20, that added together give a palindrome (22722).

The spelling of 2270220 in words is "two million, two hundred seventy thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 241 314 471 482 628 723 785 942 964 1205 1446 1570 1884 2355 2410 2892 3140 3615 4710 4820 7230 9420 14460 37837 75674 113511 151348 189185 227022 378370 454044 567555 756740 1135110 2270220