Search a number
-
+
2201002002 = 2321713154907
BaseRepresentation
bin1000001100110000…
…1010000000010010
312200101120111010200
42003030022000102
514001424031002
61002223040030
7105354131313
oct20314120022
95611514120
102201002002
11a2a454421
12515140016
13290cc2764
1416c45c60a
15cd368b1c
hex8330a012

2201002002 has 48 divisors (see below), whose sum is σ = 5087994912. Its totient is φ = 685226880.

The previous prime is 2201001991. The next prime is 2201002039. The reversal of 2201002002 is 2002001022.

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 23 ways as a sum of consecutive naturals, for example, 12633 + ... + 67539.

It is an arithmetic number, because the mean of its divisors is an integer number (105999894).

Almost surely, 22201002002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543997456).

2201002002 is an abundant number, since it is smaller than the sum of its proper divisors (2886992910).

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

2201002002 is a wasteful number, since it uses less digits than its factorization.

2201002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55063 (or 55060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2201002002 is about 46914.8377594978. The cubic root of 2201002002 is about 1300.7888707047.

Adding to 2201002002 its reverse (2002001022), we get a palindrome (4203003024).

The spelling of 2201002002 in words is "two billion, two hundred one million, two thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 786 1179 2227 2358 4454 6681 13362 20043 40086 54907 109814 164721 329442 494163 933419 988326 1866838 2800257 5600514 7192817 8400771 14385634 16801542 21578451 43156902 64735353 122277889 129470706 244555778 366833667 733667334 1100501001 2201002002