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2220215312 = 24759337997
BaseRepresentation
bin1000010001010101…
…1100110000010000
312201201201121211202
42010111130300100
514021333342222
61004150530332
7106006342640
oct20425346020
95651647752
102220215312
11a3a287697
1251b6669a8
13294c8ba93
14170c20520
15cedb1892
hex8455cc10

2220215312 has 80 divisors (see below), whose sum is σ = 5019381120. Its totient is φ = 931682304.

The previous prime is 2220215279. The next prime is 2220215359. The reversal of 2220215312 is 2135120222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226398 + ... + 2227394.

It is an arithmetic number, because the mean of its divisors is an integer number (62742264).

Almost surely, 22220215312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509690560).

2220215312 is an abundant number, since it is smaller than the sum of its proper divisors (2799165808).

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

2220215312 is a wasteful number, since it uses less digits than its factorization.

2220215312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2220215312 is about 47119.1607735112. The cubic root of 2220215312 is about 1304.5629226769.

Adding to 2220215312 its reverse (2135120222), we get a palindrome (4355335534).

The spelling of 2220215312 in words is "two billion, two hundred twenty million, two hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 337 413 472 674 826 944 997 1348 1652 1994 2359 2696 3304 3988 4718 5392 6608 6979 7976 9436 13958 15952 18872 19883 27916 37744 39766 55832 58823 79532 111664 117646 139181 159064 235292 278362 318128 335989 411761 470584 556724 671978 823522 941168 1113448 1343956 1647044 2226896 2351923 2687912 3294088 4703846 5375824 6588176 9407692 18815384 19823351 37630768 39646702 79293404 138763457 158586808 277526914 317173616 555053828 1110107656 2220215312