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22008672 = 253471213
BaseRepresentation
bin101001111110…
…1001101100000
31112102011020000
41103331031200
521113234142
62103420000
7355033140
oct123751540
945364200
1022008672
1111472494
127454600
1347377aa
142ccc920
151deb14c
hex14fd360

22008672 has 120 divisors (see below), whose sum is σ = 74034576. Its totient is φ = 6283008.

The previous prime is 22008661. The next prime is 22008691. The reversal of 22008672 is 27680022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17538 + ... + 18750.

Almost surely, 222008672 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 22008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37017288).

22008672 is an abundant number, since it is smaller than the sum of its proper divisors (52025904).

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

22008672 is a wasteful number, since it uses less digits than its factorization.

22008672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22008672 is about 4691.3401070483. The cubic root of 22008672 is about 280.2407453277.

Adding to 22008672 its reverse (27680022), we get a palindrome (49688694).

The spelling of 22008672 in words is "twenty-two million, eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1213 1296 1512 2016 2268 2426 2592 3024 3639 4536 4852 6048 7278 8491 9072 9704 10917 14556 16982 18144 19408 21834 25473 29112 32751 33964 38816 43668 50946 58224 65502 67928 76419 87336 98253 101892 116448 131004 135856 152838 174672 196506 203784 229257 262008 271712 305676 349344 393012 407568 458514 524016 611352 687771 786024 815136 917028 1048032 1222704 1375542 1572048 1834056 2445408 2751084 3144096 3668112 5502168 7336224 11004336 22008672