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2220332532 = 22311174124133
BaseRepresentation
bin1000010001010111…
…1001010111110100
312201201221120122020
42010111321113310
514021401120112
61004153233140
7106010341455
oct20425712764
95651846566
102220332532
11a3a357770
1251b7027b0
13295000242
14170c5112c
15cedd648c
hex845795f4

2220332532 has 96 divisors (see below), whose sum is σ = 6130422144. Its totient is φ = 617779200.

The previous prime is 2220332509. The next prime is 2220332567. The reversal of 2220332532 is 2352330222.

2220332532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 79938 + ... + 104070.

It is an arithmetic number, because the mean of its divisors is an integer number (63858564).

Almost surely, 22220332532 is an apocalyptic number.

2220332532 is a gapful number since it is divisible by the number (22) 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 2220332532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065211072).

2220332532 is an abundant number, since it is smaller than the sum of its proper divisors (3910089612).

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

2220332532 is a wasteful number, since it uses less digits than its factorization.

2220332532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24209 (or 24207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2220332532 is about 47120.4046247483. The cubic root of 2220332532 is about 1304.5858811371.

Adding to 2220332532 its reverse (2352330222), we get a palindrome (4572662754).

The spelling of 2220332532 in words is "two billion, two hundred twenty million, three hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 123 132 164 187 204 246 374 451 492 561 697 748 902 1122 1353 1394 1804 2091 2244 2706 2788 4182 5412 7667 8364 15334 23001 24133 30668 46002 48266 72399 92004 96532 144798 265463 289596 410261 530926 796389 820522 989453 1061852 1230783 1592778 1641044 1978906 2461566 2968359 3185556 3957812 4512871 4923132 5936718 9025742 10883983 11873436 13538613 16820701 18051484 21767966 27077226 32651949 33641402 43535932 50462103 54154452 65303898 67282804 100924206 130607796 185027711 201848412 370055422 555083133 740110844 1110166266 2220332532