Search a number
-
+
2202010320 = 243519482897
BaseRepresentation
bin1000001101000000…
…0000001011010000
312200110110201021210
42003100000023100
514002203312240
61002300420120
7105365531106
oct20320001320
95613421253
102202010320
11a2aa82a44
12515547640
132912866b3
1416c641c76
15cd4b7780
hex834002d0

2202010320 has 80 divisors (see below), whose sum is σ = 7185522240. Its totient is φ = 556296192.

The previous prime is 2202010313. The next prime is 2202010367. The reversal of 2202010320 is 230102022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2202010296 and 2202010305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236889 + ... + 246008.

It is an arithmetic number, because the mean of its divisors is an integer number (89819028).

Almost surely, 22202010320 is an apocalyptic number.

2202010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202010320 is an abundant number, since it is smaller than the sum of its proper divisors (4983511920).

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

2202010320 is a wasteful number, since it uses less digits than its factorization.

2202010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482932 (or 482926 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2202010320 is about 46925.5827880699. The cubic root of 2202010320 is about 1300.9874785194.

Adding to 2202010320 its reverse (230102022), we get a palindrome (2432112342).

The spelling of 2202010320 in words is "two billion, two hundred two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 482897 965794 1448691 1931588 2414485 2897382 3863176 4828970 5794764 7243455 7726352 9175043 9657940 11589528 14486910 18350086 19315880 23179056 27525129 28973820 36700172 38631760 45875215 55050258 57947640 73400344 91750430 110100516 115895280 137625645 146800688 183500860 220201032 275251290 367001720 440402064 550502580 734003440 1101005160 2202010320