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2247253424 = 2413195310729
BaseRepresentation
bin1000010111110010…
…0101110110110000
312210121121022011022
42011330211312300
514100244102144
61010554235012
7106455224153
oct20574456660
95717538138
102247253424
11a53574839
12528725a68
1329a767870
1417465bc9a
15d2452cee
hex85f25db0

2247253424 has 80 divisors (see below), whose sum is σ = 5029365600. Its totient is φ = 963975168.

The previous prime is 2247253399. The next prime is 2247253427. The reversal of 2247253424 is 4243527422.

2247253424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2247253427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204092 + ... + 214820.

It is an arithmetic number, because the mean of its divisors is an integer number (62867070).

Almost surely, 22247253424 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 2247253424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514682800).

2247253424 is an abundant number, since it is smaller than the sum of its proper divisors (2782112176).

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

2247253424 is a wasteful number, since it uses less digits than its factorization.

2247253424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10822 (or 10816 counting only the distinct ones).

The product of its digits is 107520, while the sum is 35.

The square root of 2247253424 is about 47405.2046087769. The cubic root of 2247253424 is about 1309.8372899713.

The spelling of 2247253424 in words is "two billion, two hundred forty-seven million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 53 76 104 106 152 208 212 247 304 424 494 689 848 988 1007 1378 1976 2014 2756 3952 4028 5512 8056 10729 11024 13091 16112 21458 26182 42916 52364 85832 104728 139477 171664 203851 209456 278954 407702 557908 568637 815404 1115816 1137274 1630808 2231632 2274548 2650063 3261616 4549096 5300126 7392281 9098192 10600252 10804103 14784562 21200504 21608206 29569124 42401008 43216412 59138248 86432824 118276496 140453339 172865648 280906678 561813356 1123626712 2247253424