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2201110002 = 2327134393061
BaseRepresentation
bin1000001100110010…
…0100010111110010
312200101202222021200
42003030210113302
514001441010002
61002225232030
7105355061220
oct20314442762
95611688250
102201110002
11a2a518583
12515192616
1329102c970
1416c489b10
15cd38ab1c
hex833245f2

2201110002 has 96 divisors (see below), whose sum is σ = 5884919040. Its totient is φ = 579000960.

The previous prime is 2201109973. The next prime is 2201110027. The reversal of 2201110002 is 2000111022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717552 + ... + 720612.

It is an arithmetic number, because the mean of its divisors is an integer number (61301240).

Almost surely, 22201110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942459520).

2201110002 is an abundant number, since it is smaller than the sum of its proper divisors (3683809038).

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

2201110002 is a wasteful number, since it uses less digits than its factorization.

2201110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201110002 is about 46915.9887671570. The cubic root of 2201110002 is about 1300.8101463025.

Adding to 2201110002 its reverse (2000111022), we get a palindrome (4201221024).

The spelling of 2201110002 in words is "two billion, two hundred one million, one hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 439 546 819 878 1317 1638 2634 3061 3073 3951 5707 6122 6146 7902 9183 9219 11414 17121 18366 18438 21427 27549 27657 34242 39793 39949 42854 51363 55098 55314 64281 79586 79898 102726 119379 119847 128562 192843 238758 239694 278551 358137 359541 385686 557102 716274 719082 835653 1343779 1671306 2506959 2687558 4031337 5013918 8062674 9406453 12094011 17469127 18812906 24188022 28219359 34938254 52407381 56438718 84658077 104814762 122283889 157222143 169316154 244567778 314444286 366851667 733703334 1100555001 2201110002