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2231220 = 223541907
BaseRepresentation
bin1000100000101110110100
311012100122210
420200232310
51032344340
6115453420
724652005
oct10405664
94170583
102231220
111294392
128b7270
13601764
144211ac
152e1180
hex220bb4

2231220 has 48 divisors (see below), whose sum is σ = 6406848. Its totient is φ = 579840.

The previous prime is 2231219. The next prime is 2231269. The reversal of 2231220 is 221322.

It is a super-3 number, since 3×22312203 = 33323333319635544000, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2231196 and 2231205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (133476).

22231220 is an apocalyptic number.

2231220 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 2231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203424).

2231220 is an abundant number, since it is smaller than the sum of its proper divisors (4175628).

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

2231220 is a wasteful number, since it uses less digits than its factorization.

2231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2231220 is about 1493.7268826663. The cubic root of 2231220 is about 130.6714764068.

Adding to 2231220 its reverse (221322), we get a palindrome (2452542).

The spelling of 2231220 in words is "two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 907 1230 1814 2460 2721 3628 4535 5442 9070 10884 13605 18140 27210 37187 54420 74374 111561 148748 185935 223122 371870 446244 557805 743740 1115610 2231220