Search a number
-
+
22417472 = 267114549
BaseRepresentation
bin101010110000…
…1000001000000
31120011220222202
41111201001000
521214324342
62120252332
7361355030
oct125410100
946156882
1022417472
1111721640
1276110a8
13484b89c
142d978c0
151e7c332
hex1561040

22417472 has 56 divisors (see below), whose sum is σ = 55473600. Its totient is φ = 8732160.

The previous prime is 22417459. The next prime is 22417481. The reversal of 22417472 is 27471422.

It is a tau number, because it is divible by the number of its divisors (56).

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

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, 2654 + ... + 7202.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 222417472 is an apocalyptic number.

22417472 is a gapful number since it is divisible by the number (22) 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 22417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27736800).

22417472 is an abundant number, since it is smaller than the sum of its proper divisors (33056128).

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

22417472 is a wasteful number, since it uses less digits than its factorization.

22417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4569 counting only the distinct ones).

The product of its digits is 6272, while the sum is 29.

The square root of 22417472 is about 4734.7092835780. The cubic root of 22417472 is about 281.9652221418.

Adding to 22417472 its reverse (27471422), we get a palindrome (49888894).

The spelling of 22417472 in words is "twenty-two million, four hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4549 4928 9098 18196 31843 36392 50039 63686 72784 100078 127372 145568 200156 254744 291136 350273 400312 509488 700546 800624 1018976 1401092 1601248 2037952 2802184 3202496 5604368 11208736 22417472