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2220011010 = 233574128649
BaseRepresentation
bin1000010001010010…
…1010111000000010
312201201100020121000
42010110222320002
514021310323020
61004142312430
7106004532210
oct20424527002
95651306530
102220011010
11a3a158148
1251b588716
13294c19aa9
14170ba9cb0
15ced71090
hex8452ae02

2220011010 has 128 divisors (see below), whose sum is σ = 6931008000. Its totient is φ = 495037440.

The previous prime is 2220010997. The next prime is 2220011021. The reversal of 2220011010 is 101100222.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220010983 and 2220011001.

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 63 ways as a sum of consecutive naturals, for example, 63166 + ... + 91814.

It is an arithmetic number, because the mean of its divisors is an integer number (54148500).

Almost surely, 22220011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465504000).

2220011010 is an abundant number, since it is smaller than the sum of its proper divisors (4710996990).

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

2220011010 is a wasteful number, since it uses less digits than its factorization.

2220011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28713 (or 28707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2220011010 is about 47116.9927945322. The cubic root of 2220011010 is about 1304.5229065895.

Adding to 2220011010 its reverse (101100222), we get a palindrome (2321111232).

The spelling of 2220011010 in words is "two billion, two hundred twenty million, eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 82 90 105 123 126 135 189 205 210 246 270 287 315 369 378 410 574 615 630 738 861 945 1107 1230 1435 1722 1845 1890 2214 2583 2870 3690 4305 5166 5535 7749 8610 11070 12915 15498 25830 28649 38745 57298 77490 85947 143245 171894 200543 257841 286490 401086 429735 515682 601629 773523 859470 1002715 1174609 1203258 1289205 1547046 1804887 2005430 2349218 2578410 3008145 3523827 3609774 3867615 5414661 5873045 6016290 7047654 7735230 8222263 9024435 10571481 10829322 11746090 16444526 17619135 18048870 21142962 24666789 27073305 31714443 35238270 41111315 49333578 52857405 54146610 63428886 74000367 82222630 105714810 123333945 148000734 158572215 222001101 246667890 317144430 370001835 444002202 740003670 1110005505 2220011010