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2213333000 = 23535341761
BaseRepresentation
bin1000001111101100…
…1100100000001000
312201020202222002022
42003323030200020
514013103124000
61003343224012
7105564006614
oct20373144010
95636688068
102213333000
11a3640692a
125192a8008
1329371c2c8
1416dd4c344
15ce4a2585
hex83ecc808

2213333000 has 64 divisors (see below), whose sum is σ = 5277046320. Its totient is φ = 868608000.

The previous prime is 2213332999. The next prime is 2213333039. The reversal of 2213333000 is 3333122.

It can be written as a sum of positive squares in 8 ways, for example, as 19909444 + 2193423556 = 4462^2 + 46834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2213333000.

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, 32120 + ... + 73880.

Almost surely, 22213333000 is an apocalyptic number.

2213333000 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 2213333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638523160).

2213333000 is an abundant number, since it is smaller than the sum of its proper divisors (3063713320).

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

2213333000 is a wasteful number, since it uses less digits than its factorization.

2213333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41835 (or 41821 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2213333000 is about 47046.0731623799. The cubic root of 2213333000 is about 1303.2135487027.

Adding to 2213333000 its reverse (3333122), we get a palindrome (2216666122).

The spelling of 2213333000 in words is "two billion, two hundred thirteen million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 41761 53000 83522 167044 208805 334088 417610 835220 1044025 1670440 2088050 2213333 4176100 4426666 5220125 8352200 8853332 10440250 11066665 17706664 20880500 22133330 41761000 44266660 55333325 88533320 110666650 221333300 276666625 442666600 553333250 1106666500 2213333000