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2210013320 = 23547101103113
BaseRepresentation
bin1000001110111010…
…0010000010001000
312201000112022100012
42003232202002020
514011230411240
61003144131052
7105523542344
oct20356420210
95630468305
102210013320
11a34549799
12518166a88
13292b292b8
1416d726624
15ce048b65
hex83ba2088

2210013320 has 128 divisors (see below), whose sum is σ = 5224227840. Its totient is φ = 840806400.

The previous prime is 2210013319. The next prime is 2210013341. The reversal of 2210013320 is 233100122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210013295 and 2210013304.

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 31 ways as a sum of consecutive naturals, for example, 19557584 + ... + 19557696.

It is an arithmetic number, because the mean of its divisors is an integer number (40814280).

Almost surely, 22210013320 is an apocalyptic number.

2210013320 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 2210013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612113920).

2210013320 is an abundant number, since it is smaller than the sum of its proper divisors (3014214520).

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

2210013320 is a wasteful number, since it uses less digits than its factorization.

2210013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2210013320 is about 47010.7787640239. The cubic root of 2210013320 is about 1302.5616786233.

Adding to 2210013320 its reverse (233100122), we get a palindrome (2443113442).

The spelling of 2210013320 in words is "two billion, two hundred ten million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 101 103 113 188 202 206 226 235 376 404 412 452 470 505 515 565 808 824 904 940 1010 1030 1130 1880 2020 2060 2260 4040 4120 4520 4747 4841 5311 9494 9682 10403 10622 11413 11639 18988 19364 20806 21244 22826 23278 23735 24205 26555 37976 38728 41612 42488 45652 46556 47470 48410 52015 53110 57065 58195 83224 91304 93112 94940 96820 104030 106220 114130 116390 189880 193640 208060 212440 228260 232780 416120 456520 465560 488941 536411 547033 977882 1072822 1094066 1175539 1955764 2145644 2188132 2351078 2444705 2682055 2735165 3911528 4291288 4376264 4702156 4889410 5364110 5470330 5877695 9404312 9778820 10728220 10940660 11755390 19557640 21456440 21881320 23510780 47021560 55250333 110500666 221001332 276251665 442002664 552503330 1105006660 2210013320