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2149228250 = 253133761293
BaseRepresentation
bin1000000000011010…
…1001111011011010
312112210011002220022
42000012221323122
513400200301000
6553133230442
7104155065401
oct20006517332
95483132808
102149228250
11a03201aa4
124bb932422
13283365bc0
14165622638
15c8a3d585
hex801a9eda

2149228250 has 128 divisors (see below), whose sum is σ = 4538334528. Its totient is φ = 756864000.

The previous prime is 2149228243. The next prime is 2149228253. The reversal of 2149228250 is 528229412.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 684711889 + 1464516361 = 26167^2 + 38269^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2149228250.

It is not an unprimeable number, because it can be changed into a prime (2149228253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7335104 + ... + 7335396.

Almost surely, 22149228250 is an apocalyptic number.

2149228250 is an abundant number, since it is smaller than the sum of its proper divisors (2389106278).

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

2149228250 is a wasteful number, since it uses less digits than its factorization.

2149228250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2149228250 is about 46359.7697362703. The cubic root of 2149228250 is about 1290.5084328783.

The spelling of 2149228250 in words is "two billion, one hundred forty-nine million, two hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 37 50 61 65 74 122 125 130 185 250 293 305 325 370 481 586 610 650 793 925 962 1465 1525 1586 1625 1850 2257 2405 2930 3050 3250 3809 3965 4514 4625 4810 7325 7618 7625 7930 9250 10841 11285 12025 14650 15250 17873 19045 19825 21682 22570 24050 29341 35746 36625 38090 39650 54205 56425 58682 60125 73250 89365 95225 99125 108410 112850 120250 140933 146705 178730 190450 198250 232349 271025 281866 282125 293410 446825 464698 476125 542050 564250 661301 704665 733525 893650 952250 1161745 1322602 1355125 1409330 1467050 2234125 2323490 2710250 3306505 3523325 3667625 4468250 5808725 6613010 7046650 7335250 8596913 11617450 16532525 17193826 17616625 29043625 33065050 35233250 42984565 58087250 82662625 85969130 165325250 214922825 429845650 1074614125 2149228250