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2236540064 = 251114942643
BaseRepresentation
bin1000010101001110…
…1110010010100000
312202212110000012012
42011103232102200
514040023240224
61005532452052
7106265163653
oct20523562240
95685400165
102236540064
11a48517720
1252501a028
132984863b5
1417306d89a
15d153880e
hex854ee4a0

2236540064 has 48 divisors (see below), whose sum is σ = 4835829600. Its totient is φ = 1009762560.

The previous prime is 2236540063. The next prime is 2236540069. The reversal of 2236540064 is 4600456322.

It is a super-2 number, since 2×22365400642 = 10004222915754248192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2236540064.

It is not an unprimeable number, because it can be changed into a prime (2236540063) 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 7 ways as a sum of consecutive naturals, for example, 31127 + ... + 73769.

It is an arithmetic number, because the mean of its divisors is an integer number (100746450).

Almost surely, 22236540064 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 2236540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417914800).

2236540064 is an abundant number, since it is smaller than the sum of its proper divisors (2599289536).

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

2236540064 is a wasteful number, since it uses less digits than its factorization.

2236540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42813 (or 42805 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2236540064 is about 47292.0718937117. The cubic root of 2236540064 is about 1307.7525054897.

Adding to 2236540064 its reverse (4600456322), we get a palindrome (6836996386).

The spelling of 2236540064 in words is "two billion, two hundred thirty-six million, five hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1639 2384 3278 4768 6556 13112 26224 42643 52448 85286 170572 341144 469073 682288 938146 1364576 1876292 3752584 6353807 7505168 12707614 15010336 25415228 50830456 69891877 101660912 139783754 203321824 279567508 559135016 1118270032 2236540064