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2210109990 = 23511171512609
BaseRepresentation
bin1000001110111011…
…1001101000100110
312201000201012221120
42003232321220212
514011242004430
61003150154410
7105524424234
oct20356715046
95630635846
102210109990
11a34605390
125181b2a06
13292b612ba
1416d74d954
15ce067610
hex83bb9a26

2210109990 has 128 divisors (see below), whose sum is σ = 6169789440. Its totient is φ = 500736000.

The previous prime is 2210109989. The next prime is 2210110009. The reversal of 2210109990 is 999010122.

2210109990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845806 + ... + 848414.

It is an arithmetic number, because the mean of its divisors is an integer number (48201480).

Almost surely, 22210109990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210109990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084894720).

2210109990 is an abundant number, since it is smaller than the sum of its proper divisors (3959679450).

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

2210109990 is a wasteful number, since it uses less digits than its factorization.

2210109990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798.

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 2210109990 is about 47011.8069212405. The cubic root of 2210109990 is about 1302.5806704849.

The spelling of 2210109990 in words is "two billion, two hundred ten million, one hundred nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 151 165 170 187 255 302 330 374 453 510 561 755 906 935 1122 1510 1661 1870 2265 2567 2609 2805 3322 4530 4983 5134 5218 5610 7701 7827 8305 9966 12835 13045 15402 15654 16610 24915 25670 26090 28237 28699 38505 39135 44353 49830 56474 57398 77010 78270 84711 86097 88706 133059 141185 143495 169422 172194 221765 266118 282370 286990 393959 423555 430485 443530 487883 665295 787918 847110 860970 975766 1181877 1330590 1463649 1969795 2363754 2439415 2927298 3939590 4333549 4878830 5909385 6697303 7318245 8667098 11818770 13000647 13394606 14636490 20091909 21667745 26001294 33486515 40183818 43335490 65003235 66973030 73670333 100459545 130006470 147340666 200919090 221010999 368351665 442021998 736703330 1105054995 2210109990