Search a number
-
+
22217248 = 252989269
BaseRepresentation
bin101010011000…
…0001000100000
31112210202100001
41110300020200
521141422443
62112105344
7356562214
oct124601040
945722301
1022217248
11115a5169
127535254
1347ab701
142d44944
151e3cd4d
hex1530220

22217248 has 48 divisors (see below), whose sum is σ = 45927000. Its totient is φ = 10565632.

The previous prime is 22217233. The next prime is 22217263. The reversal of 22217248 is 84271222.

It is an interprime number because it is at equal distance from previous prime (22217233) and next prime (22217263).

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 11641744 = 3252^2 + 3412^2 .

It is a super-2 number, since 2×222172482 = 987212217387008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82458 + ... + 82726.

Almost surely, 222217248 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 22217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22963500).

22217248 is an abundant number, since it is smaller than the sum of its proper divisors (23709752).

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

22217248 is a wasteful number, since it uses less digits than its factorization.

22217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 22217248 is about 4713.5175824431. The cubic root of 22217248 is about 281.1232430943.

The spelling of 22217248 in words is "twenty-two million, two hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 89 116 178 232 269 356 464 538 712 928 1076 1424 2152 2581 2848 4304 5162 7801 8608 10324 15602 20648 23941 31204 41296 47882 62408 82592 95764 124816 191528 249632 383056 694289 766112 1388578 2777156 5554312 11108624 22217248