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2252053536 = 253139168769
BaseRepresentation
bin1000011000111011…
…1001110000100000
312210221122011200020
42012032321300200
514103011203121
61011245153440
7106544065515
oct20616716040
95727564606
102252053536
11a56253177
1252a25b880
1329b758675
1417514b30c
15d2aa01c6
hex863b9c20

2252053536 has 48 divisors (see below), whose sum is σ = 5954205600. Its totient is φ = 745279488.

The previous prime is 2252053523. The next prime is 2252053537. The reversal of 2252053536 is 6353502522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2252053497 and 2252053506.

It is not an unprimeable number, because it can be changed into a prime (2252053537) 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, 71041 + ... + 97728.

It is an arithmetic number, because the mean of its divisors is an integer number (124045950).

Almost surely, 22252053536 is an apocalyptic number.

It is an amenable number.

2252053536 is an abundant number, since it is smaller than the sum of its proper divisors (3702152064).

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

2252053536 is a wasteful number, since it uses less digits than its factorization.

2252053536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168921 (or 168913 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 2252053536 is about 47455.8061358144. The cubic root of 2252053536 is about 1310.7692267594.

The spelling of 2252053536 in words is "two billion, two hundred fifty-two million, fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 168769 337538 506307 675076 1012614 1350152 2025228 2700304 4050456 5400608 8100912 16201824 23458891 46917782 70376673 93835564 140753346 187671128 281506692 375342256 563013384 750684512 1126026768 2252053536