Search a number
-
+
22148448 = 2537231433
BaseRepresentation
bin101010001111…
…1010101100000
31112200020221220
41110133111200
521132222243
62110415040
7356154510
oct124372540
945606856
1022148448
1111558503
127501480
1347862ba
142d27840
151e27783
hex151f560

22148448 has 96 divisors (see below), whose sum is σ = 69382656. Its totient is φ = 6048768.

The previous prime is 22148447. The next prime is 22148479. The reversal of 22148448 is 84484122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22148447) 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, 14740 + ... + 16172.

It is an arithmetic number, because the mean of its divisors is an integer number (722736).

Almost surely, 222148448 is an apocalyptic number.

22148448 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 22148448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34691328).

22148448 is an abundant number, since it is smaller than the sum of its proper divisors (47234208).

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

22148448 is a wasteful number, since it uses less digits than its factorization.

22148448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 22148448 is about 4706.2137648007. The cubic root of 22148448 is about 280.8327588992.

The spelling of 22148448 in words is "twenty-two million, one hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1433 1932 2208 2576 2866 3864 4299 5152 5732 7728 8598 10031 11464 15456 17196 20062 22928 30093 32959 34392 40124 45856 60186 65918 68784 80248 98877 120372 131836 137568 160496 197754 230713 240744 263672 320992 395508 461426 481488 527344 692139 791016 922852 962976 1054688 1384278 1582032 1845704 2768556 3164064 3691408 5537112 7382816 11074224 22148448