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2210142220 = 22511132333599
BaseRepresentation
bin1000001110111100…
…0001100000001100
312201000202212011021
42003233001200030
514011244022340
61003151003524
7105524620216
oct20357014014
95630685137
102210142220
11a34627620
125182095a4
13292b72b80
1416d75b5b6
15ce071e4a
hex83bc180c

2210142220 has 96 divisors (see below), whose sum is σ = 5689958400. Its totient is φ = 709589760.

The previous prime is 2210142203. The next prime is 2210142257. The reversal of 2210142220 is 222410122.

It is a junction number, because it is equal to n+sod(n) for n = 2210142194 and 2210142203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48981 + ... + 82579.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 22210142220 is an apocalyptic number.

2210142220 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 2210142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844979200).

2210142220 is an abundant number, since it is smaller than the sum of its proper divisors (3479816180).

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

2210142220 is a wasteful number, since it uses less digits than its factorization.

2210142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33655 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2210142220 is about 47012.1497062196. The cubic root of 2210142220 is about 1302.5870022921.

Adding to 2210142220 its reverse (222410122), we get a palindrome (2432552342).

The spelling of 2210142220 in words is "two billion, two hundred ten million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 32890 33599 65780 67198 134396 167995 335990 369589 436787 671980 739178 772777 873574 1478356 1545554 1747148 1847945 2183935 3091108 3695890 3863885 4367870 4804657 7391780 7727770 8500547 8735740 9609314 10046101 15455540 17001094 19218628 20092202 24023285 34002188 40184404 42502735 48046570 50230505 85005470 96093140 100461010 110507111 170010940 200922020 221014222 442028444 552535555 1105071110 2210142220