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2210300040 = 2335131416859
BaseRepresentation
bin1000001110111110…
…1000000010001000
312201001001212122110
42003233220002020
514011314100130
61003154222320
7105526145304
oct20357500210
95631055573
102210300040
11a34725153
125182849a0
13292bc9960
1416d79cd04
15ce0a3ab0
hex83be8088

2210300040 has 64 divisors (see below), whose sum is σ = 7140974400. Its totient is φ = 544073472.

The previous prime is 2210300011. The next prime is 2210300083. The reversal of 2210300040 is 400030122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210299989 and 2210300025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706870 + ... + 709989.

It is an arithmetic number, because the mean of its divisors is an integer number (111577725).

Almost surely, 22210300040 is an apocalyptic number.

2210300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210300040 is an abundant number, since it is smaller than the sum of its proper divisors (4930674360).

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

2210300040 is a wasteful number, since it uses less digits than its factorization.

2210300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416886 (or 1416882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2210300040 is about 47013.8281785264. The cubic root of 2210300040 is about 1302.6180062377.

Adding to 2210300040 its reverse (400030122), we get a palindrome (2610330162).

The spelling of 2210300040 in words is "two billion, two hundred ten million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1416859 2833718 4250577 5667436 7084295 8501154 11334872 14168590 17002308 18419167 21252885 28337180 34004616 36838334 42505770 55257501 56674360 73676668 85011540 92095835 110515002 147353336 170023080 184191670 221030004 276287505 368383340 442060008 552575010 736766680 1105150020 2210300040