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2722006248 = 2331383257409
BaseRepresentation
bin1010001000111110…
…1000010011101000
321000200221020121020
42202033220103220
521033313144443
61130034012440
7124311446163
oct24217502350
97020836536
102722006248
111177557645
1263b717120
13344c200b0
141bb720ada
1510de80583
hexa23e84e8

2722006248 has 128 divisors (see below), whose sum is σ = 7463836800. Its totient is φ = 822214656.

The previous prime is 2722006201. The next prime is 2722006249. The reversal of 2722006248 is 8426002272.

It is not an unprimeable number, because it can be changed into a prime (2722006249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6655068 + ... + 6655476.

It is an arithmetic number, because the mean of its divisors is an integer number (58311225).

Almost surely, 22722006248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722006248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731918400).

2722006248 is an abundant number, since it is smaller than the sum of its proper divisors (4741830552).

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

2722006248 is a wasteful number, since it uses less digits than its factorization.

2722006248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2722006248 is about 52172.8497209037. The cubic root of 2722006248 is about 1396.2495277855.

The spelling of 2722006248 in words is "two billion, seven hundred twenty-two million, six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 257 312 332 409 498 514 664 771 818 996 1028 1079 1227 1542 1636 1992 2056 2158 2454 3084 3237 3272 3341 4316 4908 5317 6168 6474 6682 8632 9816 10023 10634 12948 13364 15951 20046 21268 21331 25896 26728 31902 33947 40092 42536 42662 63804 63993 67894 80184 85324 101841 105113 127608 127986 135788 170648 203682 210226 255972 271576 277303 315339 407364 420452 441311 511944 554606 630678 814728 831909 840904 882622 1109212 1261356 1323933 1366469 1663818 1765244 2218424 2522712 2647866 2732938 3327636 3530488 4099407 5295732 5465876 6655272 8198814 8724379 10591464 10931752 16397628 17448758 26173137 32795256 34897516 52346274 69795032 104692548 113416927 209385096 226833854 340250781 453667708 680501562 907335416 1361003124 2722006248