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2000102220 = 223451677393
BaseRepresentation
bin111011100110111…
…0010001101001100
312011101112201110000
41313031302031030
513044011232340
6530245044300
7100364405544
oct16715621514
95141481400
102000102220
11937007446
124799b6690
1325b4b1a4c
1414d8c4324
15ba8d2d30
hex7737234c

2000102220 has 120 divisors (see below), whose sum is σ = 6312819744. Its totient is φ = 530095104.

The previous prime is 2000102201. The next prime is 2000102227. The reversal of 2000102220 is 222010002.

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

It is not an unprimeable number, because it can be changed into a prime (2000102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266844 + ... + 274236.

Almost surely, 22000102220 is an apocalyptic number.

2000102220 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 2000102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156409872).

2000102220 is an abundant number, since it is smaller than the sum of its proper divisors (4312717524).

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

2000102220 is a wasteful number, since it uses less digits than its factorization.

2000102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7570 counting only the distinct ones).

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

The square root of 2000102220 is about 44722.5023897366. The cubic root of 2000102220 is about 1259.9425143841.

Adding to 2000102220 its reverse (222010002), we get a palindrome (2222112222).

The spelling of 2000102220 in words is "two billion, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 167 180 270 324 334 405 501 540 668 810 835 1002 1503 1620 1670 2004 2505 3006 3340 4509 5010 6012 7393 7515 9018 10020 13527 14786 15030 18036 22179 22545 27054 29572 30060 36965 44358 45090 54108 66537 67635 73930 88716 90180 110895 133074 135270 147860 199611 221790 266148 270540 332685 399222 443580 598833 665370 798444 998055 1197666 1234631 1330740 1996110 2395332 2469262 2994165 3703893 3992220 4938524 5988330 6173155 7407786 11111679 11976660 12346310 14815572 18519465 22223358 24692620 33335037 37038930 44446716 55558395 66670074 74077860 100005111 111116790 133340148 166675185 200010222 222233580 333350370 400020444 500025555 666700740 1000051110 2000102220