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2200340664 = 2332294492347
BaseRepresentation
bin1000001100100110…
…1000100010111000
312200100022212221200
42003021220202320
514001241400124
61002200534200
7105345405234
oct20311504270
95610285850
102200340664
11a2a042565
12514a81360
13290b20732
1416c3295c4
15cd287bc9
hex832688b8

2200340664 has 96 divisors (see below), whose sum is σ = 6181110000. Its totient is φ = 706277376.

The previous prime is 2200340647. The next prime is 2200340677. The reversal of 2200340664 is 4660430022.

It is a congruent number.

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, 936339 + ... + 938685.

Almost surely, 22200340664 is an apocalyptic number.

2200340664 is a gapful number since it is divisible by the number (24) 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 2200340664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090555000).

2200340664 is an abundant number, since it is smaller than the sum of its proper divisors (3980769336).

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

2200340664 is a wasteful number, since it uses less digits than its factorization.

2200340664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2200340664 is about 46907.7889481054. The cubic root of 2200340664 is about 1300.6585743995.

Adding to 2200340664 its reverse (4660430022), we get a palindrome (6860770686).

The spelling of 2200340664 in words is "two billion, two hundred million, three hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 449 522 696 898 1044 1347 1796 2088 2347 2694 3592 4041 4694 5388 7041 8082 9388 10776 13021 14082 16164 18776 21123 26042 28164 32328 39063 42246 52084 56328 68063 78126 84492 104168 117189 136126 156252 168984 204189 234378 272252 312504 408378 468756 544504 612567 816756 937512 1053803 1225134 1633512 2107606 2450268 3161409 4215212 4900536 6322818 8430424 9484227 12645636 18968454 25291272 30560287 37936908 61120574 75873816 91680861 122241148 183361722 244482296 275042583 366723444 550085166 733446888 1100170332 2200340664