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22226848 = 257671481
BaseRepresentation
bin101010011001…
…0011110100000
31112211020111121
41110302132200
521142224343
62112222024
7356632210
oct124623640
945736447
1022226848
11116013a6
12753a914
1347b2ba7
142d48240
151e40aed
hex15327a0

22226848 has 48 divisors (see below), whose sum is σ = 50791104. Its totient is φ = 9377280.

The previous prime is 22226833. The next prime is 22226849. The reversal of 22226848 is 84862222.

It is not an unprimeable number, because it can be changed into a prime (22226849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14268 + ... + 15748.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 222226848 is an apocalyptic number.

22226848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395552).

22226848 is an abundant number, since it is smaller than the sum of its proper divisors (28564256).

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

22226848 is a wasteful number, since it uses less digits than its factorization.

22226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 22226848 is about 4714.5358202054. The cubic root of 22226848 is about 281.1637280742.

The spelling of 22226848 in words is "twenty-two million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1481 1876 2144 2962 3752 5924 7504 10367 11848 15008 20734 23696 41468 47392 82936 99227 165872 198454 331744 396908 694589 793816 1389178 1587632 2778356 3175264 5556712 11113424 22226848