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2205315344 = 241716934789
BaseRepresentation
bin1000001101110010…
…0111000100010000
312200200200121221002
42003130213010100
514004030042334
61002455321132
7105435604541
oct20334470420
95620617832
102205315344
11a31930071
125166801a8
13291b72b2b
1416cc624c8
15cd91bb7e
hex83727110

2205315344 has 40 divisors (see below), whose sum is σ = 4527757080. Its totient is φ = 1036965888.

The previous prime is 2205315323. The next prime is 2205315377. The reversal of 2205315344 is 4435135022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105842944 + 2099472400 = 10288^2 + 45820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458102 + ... + 462890.

It is an arithmetic number, because the mean of its divisors is an integer number (113193927).

Almost surely, 22205315344 is an apocalyptic number.

It is an amenable number.

2205315344 is an abundant number, since it is smaller than the sum of its proper divisors (2322441736).

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

2205315344 is a wasteful number, since it uses less digits than its factorization.

2205315344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2205315344 is about 46960.7851723116. The cubic root of 2205315344 is about 1301.6380424440.

The spelling of 2205315344 in words is "two billion, two hundred five million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 1693 3386 4789 6772 9578 13544 19156 27088 28781 38312 57562 76624 81413 115124 162826 230248 325652 460496 651304 1302608 8107777 16215554 32431108 64862216 129724432 137832209 275664418 551328836 1102657672 2205315344