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2252445030 = 2335113132423
BaseRepresentation
bin1000011001000001…
…1001010101100110
312210222101001201000
42012100121111212
514103111220110
61011301414130
7106550316063
oct20620312546
95728331630
102252445030
11a564a0320
1252a40a346
1329b864914
1417520dc6a
15d2b2b1c0
hex86419566

2252445030 has 128 divisors (see below), whose sum is σ = 6576215040. Its totient is φ = 544078080.

The previous prime is 2252445029. The next prime is 2252445037. The reversal of 2252445030 is 305442522.

It is a happy number.

It is a super-2 number, since 2×22524450302 = 10147017226343401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2252444985 and 2252445003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252445037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928399 + ... + 930821.

It is an arithmetic number, because the mean of its divisors is an integer number (51376680).

Almost surely, 22252445030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252445030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288107520).

2252445030 is an abundant number, since it is smaller than the sum of its proper divisors (4323770010).

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

2252445030 is a wasteful number, since it uses less digits than its factorization.

2252445030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2252445030 is about 47459.9307837675. The cubic root of 2252445030 is about 1310.8451764866.

Adding to 2252445030 its reverse (305442522), we get a palindrome (2557887552).

The spelling of 2252445030 in words is "two billion, two hundred fifty-two million, four hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 313 330 495 594 626 939 990 1485 1565 1878 2423 2817 2970 3130 3443 4695 4846 5634 6886 7269 8451 9390 10329 12115 14085 14538 16902 17215 20658 21807 24230 26653 28170 30987 34430 36345 42255 43614 51645 53306 61974 65421 72690 79959 84510 92961 103290 109035 130842 133265 154935 159918 185922 218070 239877 266530 309870 327105 399795 464805 479754 654210 719631 758399 799590 929610 1199385 1439262 1516798 2275197 2398770 3598155 3791995 4550394 6825591 7196310 7583990 8342389 11375985 13651182 16684778 20476773 22751970 25027167 34127955 40953546 41711945 50054334 68255910 75081501 83423890 102383865 125135835 150163002 204767730 225244503 250271670 375407505 450489006 750815010 1126222515 2252445030