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22650320 = 2457113677
BaseRepresentation
bin101011001100…
…1110111010000
31120121202101202
41112121313100
521244302240
62125250332
7363344630
oct126316720
946552352
1022650320
1111870580
1277039a8
134900874
1430186c0
151ec6315
hex1599dd0

22650320 has 80 divisors (see below), whose sum is σ = 65674368. Its totient is φ = 7057920.

The previous prime is 22650319. The next prime is 22650359. The reversal of 22650320 is 2305622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×226503202 = 1026073992204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22650292 and 22650301.

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 15 ways as a sum of consecutive naturals, for example, 4322 + ... + 7998.

Almost surely, 222650320 is an apocalyptic number.

22650320 is a gapful number since it is divisible by the number (20) 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 22650320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32837184).

22650320 is an abundant number, since it is smaller than the sum of its proper divisors (43024048).

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

22650320 is a wasteful number, since it uses less digits than its factorization.

22650320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 22650320 is about 4759.2352326818. The cubic root of 22650320 is about 282.9381094707.

Adding to 22650320 its reverse (2305622), we get a palindrome (24955942).

The spelling of 22650320 in words is "twenty-two million, six hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3677 6160 7354 14708 18385 25739 29416 36770 40447 51478 58832 73540 80894 102956 128695 147080 161788 202235 205912 257390 283129 294160 323576 404470 411824 514780 566258 647152 808940 1029560 1132516 1415645 1617880 2059120 2265032 2831290 3235760 4530064 5662580 11325160 22650320