Search a number
-
+
2245271250 = 23541035813
BaseRepresentation
bin1000010111010100…
…0001111011010010
312210110212121010110
42011311001323102
514044242140000
61010443542150
7106432330215
oct20565017322
95713777113
102245271250
11a52440582
12527b2a956
1329a222591
141742a377c
15d21b0850
hex85d41ed2

2245271250 has 80 divisors (see below), whose sum is σ = 5666836032. Its totient is φ = 592824000.

The previous prime is 2245271219. The next prime is 2245271257. The reversal of 2245271250 is 521725422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2245271257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 383344 + ... + 389156.

Almost surely, 22245271250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245271250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833418016).

2245271250 is an abundant number, since it is smaller than the sum of its proper divisors (3421564782).

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

2245271250 is a wasteful number, since it uses less digits than its factorization.

2245271250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2245271250 is about 47384.2932837454. The cubic root of 2245271250 is about 1309.4520657796.

Adding to 2245271250 its reverse (521725422), we get a palindrome (2766996672).

The spelling of 2245271250 in words is "two billion, two hundred forty-five million, two hundred seventy-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 125 150 206 250 309 375 515 618 625 750 1030 1250 1545 1875 2575 3090 3750 5150 5813 7725 11626 12875 15450 17439 25750 29065 34878 38625 58130 64375 77250 87195 128750 145325 174390 193125 290650 386250 435975 598739 726625 871950 1197478 1453250 1796217 2179875 2993695 3592434 3633125 4359750 5987390 7266250 8981085 10899375 14968475 17962170 21798750 29936950 44905425 74842375 89810850 149684750 224527125 374211875 449054250 748423750 1122635625 2245271250