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2210331340 = 225761673863
BaseRepresentation
bin1000001110111110…
…1111101011001100
312201001010110120201
42003233233223030
514011321100330
61003155023244
7105526335460
oct20357575314
95631113521
102210331340
11a34746718
1251829ab24
13292c0ac89
1416d7aa4a0
15ce0aceca
hex83befacc

2210331340 has 96 divisors (see below), whose sum is σ = 5473649664. Its totient is φ = 734088960.

The previous prime is 2210331329. The next prime is 2210331359. The reversal of 2210331340 is 431330122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570249 + ... + 574111.

It is an arithmetic number, because the mean of its divisors is an integer number (57017184).

Almost surely, 22210331340 is an apocalyptic number.

2210331340 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 2210331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736824832).

2210331340 is an abundant number, since it is smaller than the sum of its proper divisors (3263318324).

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

2210331340 is a wasteful number, since it uses less digits than its factorization.

2210331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2210331340 is about 47014.1610581323. The cubic root of 2210331340 is about 1302.6241549883.

Adding to 2210331340 its reverse (431330122), we get a palindrome (2641661462).

The spelling of 2210331340 in words is "two billion, two hundred ten million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 67 70 122 134 140 244 268 305 335 427 469 610 670 854 938 1220 1340 1708 1876 2135 2345 3863 4087 4270 4690 7726 8174 8540 9380 15452 16348 19315 20435 27041 28609 38630 40870 54082 57218 77260 81740 108164 114436 135205 143045 235643 258821 270410 286090 471286 517642 540820 572180 942572 1035284 1178215 1294105 1649501 1811747 2356430 2588210 3299002 3623494 4712860 5176420 6598004 7246988 8247505 9058735 15788081 16495010 18117470 31576162 32990020 36234940 63152324 78940405 110516567 157880810 221033134 315761620 442066268 552582835 1105165670 2210331340