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2264220 = 223357599
BaseRepresentation
bin1000101000110010011100
311021000221000
420220302130
51034423340
6120310300
725150140
oct10506234
94230830
102264220
111307162
12912390
1361379a
1442d220
152ead30
hex228c9c

2264220 has 96 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 516672.

The previous prime is 2264203. The next prime is 2264231. The reversal of 2264220 is 224622.

It is a happy number.

2264220 is a `hidden beast` number, since 2 + 2 + 642 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2264193 and 2264202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3481 + ... + 4079.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

22264220 is an apocalyptic number.

2264220 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 2264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

2264220 is an abundant number, since it is smaller than the sum of its proper divisors (5799780).

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

2264220 is a wasteful number, since it uses less digits than its factorization.

2264220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2264220 is about 1504.7325343728. The cubic root of 2264220 is about 131.3125416223.

Adding to 2264220 its reverse (224622), we get a palindrome (2488842).

The spelling of 2264220 in words is "two million, two hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 599 630 756 945 1198 1260 1797 1890 2396 2995 3594 3780 4193 5391 5990 7188 8386 8985 10782 11980 12579 16173 16772 17970 20965 21564 25158 26955 32346 35940 37737 41930 50316 53910 62895 64692 75474 80865 83860 107820 113211 125790 150948 161730 188685 226422 251580 323460 377370 452844 566055 754740 1132110 2264220