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2572228512 = 253271967153
BaseRepresentation
bin1001100101010001…
…0001011110100000
320122021002202011200
42121110101132200
520231442303022
61103123441200
7120512403330
oct23124213640
96567082150
102572228512
1110aaa57397
125b9526200
1331cb9b409
141a58930c0
15100c46bac
hex995117a0

2572228512 has 144 divisors (see below), whose sum is σ = 8799860160. Its totient is φ = 696231936.

The previous prime is 2572228501. The next prime is 2572228513. The reversal of 2572228512 is 2158222752.

2572228512 is a `hidden beast` number, since 2 + 572 + 2 + 2 + 85 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2572228513) 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 23 ways as a sum of consecutive naturals, for example, 4728 + ... + 71880.

It is an arithmetic number, because the mean of its divisors is an integer number (61110140).

Almost surely, 22572228512 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 2572228512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399930080).

2572228512 is an abundant number, since it is smaller than the sum of its proper divisors (6227631648).

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

2572228512 is a wasteful number, since it uses less digits than its factorization.

2572228512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67195 (or 67184 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 2572228512 is about 50717.1421907820. The cubic root of 2572228512 is about 1370.1554713716.

The spelling of 2572228512 in words is "two billion, five hundred seventy-two million, two hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 67153 134306 201459 268612 402918 470071 537224 604377 805836 940142 1074448 1208754 1275907 1410213 1611672 1880284 2148896 2417508 2551814 2820426 3223344 3760568 3827721 4230639 4835016 5103628 5640852 6446688 7521136 7655442 8461278 8931349 9670032 10207256 11281704 11483163 15042272 15310884 16922556 17862698 19340064 20414512 22563408 22966326 26794047 30621768 33845112 35725396 40829024 45126816 45932652 53588094 61243536 67690224 71450792 80382141 91865304 107176188 122487072 135380448 142901584 160764282 183730608 214352376 285803168 321528564 367461216 428704752 643057128 857409504 1286114256 2572228512