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2270093300 = 2252171335349
BaseRepresentation
bin1000011101001110…
…1101111111110100
312212012120200120122
42013103231333310
514122120441200
61013131551112
7110153321546
oct20723557764
95765520518
102270093300
11a65454772
125342bb498
132a2403797
141776c5696
15d4465385
hex874edff4

2270093300 has 36 divisors (see below), whose sum is σ = 5215877100. Its totient is φ = 854622720.

The previous prime is 2270093299. The next prime is 2270093303. The reversal of 2270093300 is 33900722.

It can be written as a sum of positive squares in 6 ways, for example, as 139901584 + 2130191716 = 11828^2 + 46154^2 .

It is a super-3 number, since 3×22700933003 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2270093300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270093303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665975 + ... + 669374.

It is an arithmetic number, because the mean of its divisors is an integer number (144885475).

Almost surely, 22270093300 is an apocalyptic number.

2270093300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270093300 is an abundant number, since it is smaller than the sum of its proper divisors (2945783800).

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

2270093300 is a wasteful number, since it uses less digits than its factorization.

2270093300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335380 (or 1335373 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 2270093300 is about 47645.4961145332. The cubic root of 2270093300 is about 1314.2598349279.

The spelling of 2270093300 in words is "two billion, two hundred seventy million, ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1335349 2670698 5341396 6676745 13353490 22700933 26706980 33383725 45401866 66767450 90803732 113504665 133534900 227009330 454018660 567523325 1135046650 2270093300