Search a number
-
+
5221888 = 2973147
BaseRepresentation
bin10011111010111000000000
3100211022002021
4103322320000
52314100023
6303531224
762246110
oct23727000
910738067
105221888
112a47311
1218b9b14
13110aa99
1499d040
156d235d
hex4fae00

5221888 has 80 divisors (see below), whose sum is σ = 12570624. Its totient is φ = 2119680.

The previous prime is 5221849. The next prime is 5221889. The reversal of 5221888 is 8881225.

It is a happy number.

It is a super-2 number, since 2×52218882 = 54536228569088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111081 + ... + 111127.

Almost surely, 25221888 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 5221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312).

5221888 is an abundant number, since it is smaller than the sum of its proper divisors (7348736).

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

5221888 is an equidigital number, since it uses as much as digits as its factorization.

5221888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its digits is 10240, while the sum is 34.

The square root of 5221888 is about 2285.1450719812. The cubic root of 5221888 is about 173.4905608233.

The spelling of 5221888 in words is "five million, two hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 47 56 62 64 94 112 124 128 188 217 224 248 256 329 376 434 448 496 512 658 752 868 896 992 1316 1457 1504 1736 1792 1984 2632 2914 3008 3472 3584 3968 5264 5828 6016 6944 7936 10199 10528 11656 12032 13888 15872 20398 21056 23312 24064 27776 40796 42112 46624 55552 81592 84224 93248 111104 163184 168448 186496 326368 372992 652736 745984 1305472 2610944 5221888