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2252054432 = 25379719609
BaseRepresentation
bin1000011000111011…
…1001111110100000
312210221122012220102
42012032321332200
514103011220212
61011245201532
7106544101235
oct20616717640
95727565812
102252054432
11a56253911
1252a2602a8
1329b758bb4
1417514b78c
15d2aa05c2
hex863b9fa0

2252054432 has 48 divisors (see below), whose sum is σ = 4600741320. Its totient is φ = 1084243968.

The previous prime is 2252054419. The next prime is 2252054443. The reversal of 2252054432 is 2344502522.

2252054432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2179395856 + 72658576 = 46684^2 + 8524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2252054395 and 2252054404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105044 + ... + 124652.

Almost surely, 22252054432 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 2252054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300370660).

2252054432 is an abundant number, since it is smaller than the sum of its proper divisors (2348686888).

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

2252054432 is a wasteful number, since it uses less digits than its factorization.

2252054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19753 (or 19745 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2252054432 is about 47455.8155761757. The cubic root of 2252054432 is about 1310.7694005932.

Adding to 2252054432 its reverse (2344502522), we get a palindrome (4596556954).

The spelling of 2252054432 in words is "two billion, two hundred fifty-two million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 97 148 194 296 388 592 776 1184 1552 3104 3589 7178 14356 19609 28712 39218 57424 78436 114848 156872 313744 627488 725533 1451066 1902073 2902132 3804146 5804264 7608292 11608528 15216584 23217056 30433168 60866336 70376701 140753402 281506804 563013608 1126027216 2252054432