Search a number
-
+
2125547112 = 2331329347677
BaseRepresentation
bin111111010110001…
…0100011001101000
312111010120222111010
41332230110121220
513323120001422
6550525503520
7103446565233
oct17654243150
95433528433
102125547112
119a08a8007
124b3a11ba0
1327b4940b0
1416241a41a
15c6911b0c
hex7eb14668

2125547112 has 128 divisors (see below), whose sum is σ = 5945788800. Its totient is φ = 628712448.

The previous prime is 2125547087. The next prime is 2125547117. The reversal of 2125547112 is 2117455212.

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 2125547112.

It is not an unprimeable number, because it can be changed into a prime (2125547117) 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, 3139318 + ... + 3139994.

It is an arithmetic number, because the mean of its divisors is an integer number (46451475).

Almost surely, 22125547112 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 2125547112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972894400).

2125547112 is an abundant number, since it is smaller than the sum of its proper divisors (3820241688).

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

2125547112 is a wasteful number, since it uses less digits than its factorization.

2125547112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 2125547112 is about 46103.6561673800. The cubic root of 2125547112 is about 1285.7511214702.

The spelling of 2125547112 in words is "two billion, one hundred twenty-five million, five hundred forty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 347 348 377 677 694 696 754 1041 1131 1354 1388 1508 2031 2082 2262 2708 2776 3016 4062 4164 4511 4524 5416 8124 8328 8801 9022 9048 10063 13533 16248 17602 18044 19633 20126 26403 27066 30189 35204 36088 39266 40252 52806 54132 58899 60378 70408 78532 80504 105612 108264 117798 120756 130819 157064 211224 234919 235596 241512 255229 261638 392457 469838 471192 510458 523276 704757 765687 784914 939676 1020916 1046552 1409514 1531374 1569828 1879352 2041832 2819028 3053947 3062748 3139656 5638056 6107894 6125496 6812651 9161841 12215788 13625302 18323682 20437953 24431576 27250604 36647364 40875906 54501208 73294728 81751812 88564463 163503624 177128926 265693389 354257852 531386778 708515704 1062773556 2125547112