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2250403272 = 2332134575261
BaseRepresentation
bin1000011000100010…
…0110110111001000
312210211112022221100
42012020212313020
514102100401042
61011145541400
7106524053325
oct20610466710
95724468840
102250403272
11a55326317
125297a4860
1329b2cb490
14174c3bb4c
15d287624c
hex86226dc8

2250403272 has 96 divisors (see below), whose sum is σ = 6579289080. Its totient is φ = 690785280.

The previous prime is 2250403229. The next prime is 2250403279. The reversal of 2250403272 is 2723040522.

2250403272 is a `hidden beast` number, since 2 + 250 + 403 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2106259236 + 144144036 = 45894^2 + 12006^2 .

It is not an unprimeable number, because it can be changed into a prime (2250403279) 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, 425122 + ... + 430382.

Almost surely, 22250403272 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 2250403272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289644540).

2250403272 is an abundant number, since it is smaller than the sum of its proper divisors (4328885808).

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

2250403272 is a wasteful number, since it uses less digits than its factorization.

2250403272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2250403272 is about 47438.4155721921. The cubic root of 2250403272 is about 1310.4489792147.

Adding to 2250403272 its reverse (2723040522), we get a palindrome (4973443794).

The spelling of 2250403272 in words is "two billion, two hundred fifty million, four hundred three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 457 468 914 936 1371 1828 2742 3656 4113 5261 5484 5941 8226 10522 10968 11882 15783 16452 17823 21044 23764 31566 32904 35646 42088 47349 47528 53469 63132 68393 71292 94698 106938 126264 136786 142584 189396 205179 213876 273572 378792 410358 427752 547144 615537 820716 1231074 1641432 2404277 2462148 4808554 4924296 7212831 9617108 14425662 19234216 21638493 28851324 31255601 43276986 57702648 62511202 86553972 93766803 125022404 173107944 187533606 250044808 281300409 375067212 562600818 750134424 1125201636 2250403272