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2205115000 = 23541140093
BaseRepresentation
bin1000001101101111…
…0110001001111000
312200200022110002221
42003123312021320
514004002140000
61002451133424
7105434111464
oct20333661170
95620273087
102205115000
11a318035a0
125165a4274
13291b0289a
1416cc0d4a4
15cd8cc61a
hex836f6278

2205115000 has 80 divisors (see below), whose sum is σ = 5636414520. Its totient is φ = 801840000.

The previous prime is 2205114983. The next prime is 2205115007. The reversal of 2205115000 is 5115022.

2205115000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22051150003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205115007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34954 + ... + 75046.

Almost surely, 22205115000 is an apocalyptic number.

2205115000 is a gapful number since it is divisible by the number (20) 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 2205115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818207260).

2205115000 is an abundant number, since it is smaller than the sum of its proper divisors (3431299520).

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

2205115000 is a wasteful number, since it uses less digits than its factorization.

2205115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40130 (or 40111 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2205115000 is about 46958.6520249464. The cubic root of 2205115000 is about 1301.5986250624.

The spelling of 2205115000 in words is "two billion, two hundred five million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 40093 55000 80186 160372 200465 320744 400930 441023 801860 882046 1002325 1603720 1764092 2004650 2205115 3528184 4009300 4410230 5011625 8018600 8820460 10023250 11025575 17640920 20046500 22051150 25058125 40093000 44102300 50116250 55127875 88204600 100232500 110255750 200465000 220511500 275639375 441023000 551278750 1102557500 2205115000