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2242052250 = 235319433659
BaseRepresentation
bin1000010110100011…
…0000000010011010
312210020211001111020
42011220300002122
514042431133000
61010250543310
7106363062324
oct20550600232
95706731436
102242052250
11a50642049
12526a37b36
13299666349
14173aa6614
15d1c76ba0
hex85a3009a

2242052250 has 128 divisors (see below), whose sum is σ = 6029337600. Its totient is φ = 553089600.

The previous prime is 2242052203. The next prime is 2242052251. The reversal of 2242052250 is 522502422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242052250.

It is not an unprimeable number, because it can be changed into a prime (2242052251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610921 + ... + 614579.

It is an arithmetic number, because the mean of its divisors is an integer number (47104200).

Almost surely, 22242052250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242052250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014668800).

2242052250 is an abundant number, since it is smaller than the sum of its proper divisors (3787285350).

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

2242052250 is a wasteful number, since it uses less digits than its factorization.

2242052250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2242052250 is about 47350.3141489051. The cubic root of 2242052250 is about 1308.8259881678.

Adding to 2242052250 its reverse (522502422), we get a palindrome (2764554672).

The spelling of 2242052250 in words is "two billion, two hundred forty-two million, fifty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 43 50 57 75 86 95 114 125 129 150 190 215 250 258 285 375 430 475 570 645 750 817 950 1075 1290 1425 1634 2150 2375 2451 2850 3225 3659 4085 4750 4902 5375 6450 7125 7318 8170 10750 10977 12255 14250 16125 18295 20425 21954 24510 32250 36590 40850 54885 61275 69521 91475 102125 109770 122550 139042 157337 182950 204250 208563 274425 306375 314674 347605 417126 457375 472011 548850 612750 695210 786685 914750 944022 1042815 1372125 1573370 1738025 2085630 2360055 2744250 2989403 3476050 3933425 4720110 5214075 5978806 7866850 8690125 8968209 10428150 11800275 14947015 17380250 17936418 19667125 23600550 26070375 29894030 39334250 44841045 52140750 59001375 74735075 89682090 118002750 149470150 224205225 373675375 448410450 747350750 1121026125 2242052250