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1340222200 = 235217401983
BaseRepresentation
bin100111111100010…
…0010101011111000
310110101212100020021
41033320202223320
510221044102300
6340553340224
745132462232
oct11770425370
93411770207
101340222200
1162857a859
12314a07674
1318487b9b5
14c9dd1252
157c9d7d1a
hex4fe22af8

1340222200 has 96 divisors (see below), whose sum is σ = 3310904160. Its totient is φ = 502784000.

The previous prime is 1340222189. The next prime is 1340222203. The reversal of 1340222200 is 22220431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362909 + ... + 1363891.

It is an arithmetic number, because the mean of its divisors is an integer number (34488585).

Almost surely, 21340222200 is an apocalyptic number.

1340222200 is a gapful number since it is divisible by the number (10) 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 1340222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655452080).

1340222200 is an abundant number, since it is smaller than the sum of its proper divisors (1970681960).

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

1340222200 is a wasteful number, since it uses less digits than its factorization.

1340222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1340222200 is about 36609.0453303552. The cubic root of 1340222200 is about 1102.5347058112.

Adding to 1340222200 its reverse (22220431), we get a palindrome (1362442631).

The spelling of 1340222200 in words is "one billion, three hundred forty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 401 425 680 802 850 983 1604 1700 1966 2005 3208 3400 3932 4010 4915 6817 7864 8020 9830 10025 13634 16040 16711 19660 20050 24575 27268 33422 34085 39320 40100 49150 54536 66844 68170 80200 83555 98300 133688 136340 167110 170425 196600 272680 334220 340850 394183 417775 668440 681700 788366 835550 1363400 1576732 1671100 1970915 3153464 3342200 3941830 6701111 7883660 9854575 13402222 15767320 19709150 26804444 33505555 39418300 53608888 67011110 78836600 134022220 167527775 268044440 335055550 670111100 1340222200