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2201321340 = 2233519720693
BaseRepresentation
bin1000001100110101…
…0111111101111100
312200102011201012000
42003031113331330
514002014240330
61002233542300
7105356631321
oct20315277574
95612151160
102201321340
11a2a652339
12515274990
132910a4c0a
1416c502b48
15cd3cd560
hex83357f7c

2201321340 has 96 divisors (see below), whose sum is σ = 6883652160. Its totient is φ = 584011008.

The previous prime is 2201321303. The next prime is 2201321341. The reversal of 2201321340 is 431231022.

2201321340 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 321 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201321341) by changing a digit.

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, 96034 + ... + 116726.

It is an arithmetic number, because the mean of its divisors is an integer number (71704710).

Almost surely, 22201321340 is an apocalyptic number.

2201321340 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 2201321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441826080).

2201321340 is an abundant number, since it is smaller than the sum of its proper divisors (4682330820).

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

2201321340 is a wasteful number, since it uses less digits than its factorization.

2201321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20908 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2201321340 is about 46918.2410156221. The cubic root of 2201321340 is about 1300.8517770883.

Adding to 2201321340 its reverse (431231022), we get a palindrome (2632552362).

The spelling of 2201321340 in words is "two billion, two hundred one million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 394 540 591 788 985 1182 1773 1970 2364 2955 3546 3940 5319 5910 7092 8865 10638 11820 17730 20693 21276 26595 35460 41386 53190 62079 82772 103465 106380 124158 186237 206930 248316 310395 372474 413860 558711 620790 744948 931185 1117422 1241580 1862370 2234844 2793555 3724740 4076521 5587110 8153042 11174220 12229563 16306084 20382605 24459126 36688689 40765210 48918252 61147815 73377378 81530420 110066067 122295630 146754756 183443445 220132134 244591260 366886890 440264268 550330335 733773780 1100660670 2201321340