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2213303300 = 22521312831327
BaseRepresentation
bin1000001111101100…
…0101010000000100
312201020201110100022
42003323011100010
514013101201200
61003342434312
7105563524205
oct20373052004
95636643308
102213303300
11a3639658a
12519292998
1329370b930
1416dd415ac
15ce498885
hex83ec5404

2213303300 has 72 divisors (see below), whose sum is σ = 5180251776. Its totient is φ = 815967360.

The previous prime is 2213303269. The next prime is 2213303303. The reversal of 2213303300 is 33033122.

It is a super-2 number, since 2×22133033002 = 9797422995581780000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213303303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667237 + ... + 1668563.

Almost surely, 22213303300 is an apocalyptic number.

2213303300 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 2213303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590125888).

2213303300 is an abundant number, since it is smaller than the sum of its proper divisors (2966948476).

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

2213303300 is a wasteful number, since it uses less digits than its factorization.

2213303300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2630 counting only the distinct ones).

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

The square root of 2213303300 is about 47045.7575132976. The cubic root of 2213303300 is about 1303.2077195428.

Adding to 2213303300 its reverse (33033122), we get a palindrome (2246336422).

The spelling of 2213303300 in words is "two billion, two hundred thirteen million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1283 1300 1327 2566 2654 5132 5308 6415 6635 12830 13270 16679 17251 25660 26540 32075 33175 33358 34502 64150 66350 66716 69004 83395 86255 128300 132700 166790 172510 333580 345020 416975 431275 833950 862550 1667900 1702541 1725100 3405082 6810164 8512705 17025410 22133033 34050820 42563525 44266066 85127050 88532132 110665165 170254100 221330330 442660660 553325825 1106651650 2213303300