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2212303340 = 2251319144549
BaseRepresentation
bin1000001111011101…
…0001000111101100
312201011211122122202
42003313101013230
514012322201330
61003305201032
7105552160652
oct20367210754
95634748582
102212303340
11a35873275
12518a90178
1329344b740
1416db60dd2
15ce34c445
hex83dd11ec

2212303340 has 48 divisors (see below), whose sum is σ = 5029516800. Its totient is φ = 812555520.

The previous prime is 2212303333. The next prime is 2212303343. The reversal of 2212303340 is 433032122.

2212303340 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 (20).

It is not an unprimeable number, because it can be changed into a prime (2212303343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27386 + ... + 71934.

It is an arithmetic number, because the mean of its divisors is an integer number (104781600).

Almost surely, 22212303340 is an apocalyptic number.

2212303340 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 2212303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

2212303340 is an abundant number, since it is smaller than the sum of its proper divisors (2817213460).

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

2212303340 is a wasteful number, since it uses less digits than its factorization.

2212303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44762 (or 44760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2212303340 is about 47035.1287868971. The cubic root of 2212303340 is about 1303.0114289435.

Adding to 2212303340 its reverse (433032122), we get a palindrome (2645335462).

The spelling of 2212303340 in words is "two billion, two hundred twelve million, three hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 382 764 955 1910 2483 3820 4966 9932 12415 24830 44549 49660 89098 178196 222745 445490 579137 890980 1158274 2316548 2895685 5791370 8508859 11582740 17017718 34035436 42544295 85088590 110615167 170177180 221230334 442460668 553075835 1106151670 2212303340