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2220010020 = 22325432331231
BaseRepresentation
bin1000010001010010…
…1010101000100100
312201201100012020100
42010110222220210
514021310310040
61004142304100
7106004526264
oct20424525044
95651305210
102220010020
11a3a157428
1251b588030
13294c194c7
14170ba97a4
15ced70b30
hex8452aa24

2220010020 has 144 divisors (see below), whose sum is σ = 6925830912. Its totient is φ = 575285760.

The previous prime is 2220010019. The next prime is 2220010031. The reversal of 2220010020 is 200100222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220009984 and 2220010011.

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 47 ways as a sum of consecutive naturals, for example, 1802805 + ... + 1804035.

It is an arithmetic number, because the mean of its divisors is an integer number (48096048).

Almost surely, 22220010020 is an apocalyptic number.

2220010020 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 2220010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462915456).

2220010020 is an abundant number, since it is smaller than the sum of its proper divisors (4705820892).

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

2220010020 is a wasteful number, since it uses less digits than its factorization.

2220010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220010020 is about 47116.9822887672. The cubic root of 2220010020 is about 1304.5227126748.

Adding to 2220010020 its reverse (200100222), we get a palindrome (2420110242).

It can be divided in two parts, 2 and 220010020, that added together give a palindrome (220010022).

The spelling of 2220010020 in words is "two billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 233 258 387 430 466 516 645 699 774 860 932 1165 1231 1290 1398 1548 1935 2097 2330 2462 2580 2796 3495 3693 3870 4194 4660 4924 6155 6990 7386 7740 8388 10019 10485 11079 12310 13980 14772 18465 20038 20970 22158 24620 30057 36930 40076 41940 44316 50095 52933 55395 60114 73860 90171 100190 105866 110790 120228 150285 158799 180342 200380 211732 221580 264665 286823 300570 317598 360684 450855 476397 529330 573646 601140 635196 793995 860469 901710 952794 1058660 1147292 1434115 1587990 1720938 1803420 1905588 2381985 2581407 2868230 3175980 3441876 4302345 4763970 5162814 5736460 8604690 9527940 10325628 12333389 12907035 17209380 24666778 25814070 37000167 49333556 51628140 61666945 74000334 111000501 123333890 148000668 185000835 222001002 246667780 370001670 444002004 555002505 740003340 1110005010 2220010020