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2213362450 = 2521323241157
BaseRepresentation
bin1000001111101101…
…0011101100010010
312201020211110111001
42003323103230102
514013110044300
61003344012214
7105564161515
oct20373235422
95636743431
102213362450
11a36426a72
1251930106a
1329372c830
1416dd58d7c
15ce4ab16a
hex83ed3b12

2213362450 has 144 divisors (see below), whose sum is σ = 4777959816. Its totient is φ = 757785600.

The previous prime is 2213362441. The next prime is 2213362451. The reversal of 2213362450 is 542633122.

2213362450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 236759769 + 1976602681 = 15387^2 + 44459^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213362451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14097772 + ... + 14097928.

Almost surely, 22213362450 is an apocalyptic number.

2213362450 is an abundant number, since it is smaller than the sum of its proper divisors (2564597366).

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

2213362450 is a wasteful number, since it uses less digits than its factorization.

2213362450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2213362450 is about 47046.3861523922. The cubic root of 2213362450 is about 1303.2193287440.

Adding to 2213362450 its reverse (542633122), we get a palindrome (2755995572).

The spelling of 2213362450 in words is "two billion, two hundred thirteen million, three hundred sixty-two thousand, four hundred fifty".

Divisors: 1 2 5 10 13 23 25 26 41 46 50 65 82 115 130 157 205 230 299 314 325 410 529 533 575 598 650 785 943 1025 1058 1066 1150 1495 1570 1886 2041 2050 2645 2665 2990 3611 3925 4082 4715 5290 5330 6437 6877 7222 7475 7850 9430 10205 12259 12874 13225 13325 13754 14950 18055 20410 21689 23575 24518 26450 26650 32185 34385 36110 43378 46943 47150 51025 61295 64370 68770 83053 83681 90275 93886 102050 108445 122590 148051 160925 166106 167362 171925 180550 216890 234715 281957 296102 306475 321850 343850 415265 418405 469430 542225 563914 612950 740255 830530 836810 1079689 1084450 1173575 1409785 1480510 1924663 2076325 2092025 2159378 2347150 2819570 3405173 3701275 3849326 4152650 4184050 5398445 6810346 7048925 7402550 9623315 10796890 14097850 17025865 19246630 26992225 34051730 44267249 48116575 53984450 85129325 88534498 96233150 170258650 221336245 442672490 1106681225 2213362450