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22889048 = 23713231367
BaseRepresentation
bin101011101010…
…0001001011000
31121001212212112
41113110021120
521324422143
62134331452
7365360630
oct127241130
947055775
1022889048
1111a13976
1277b9b88
134985420
14307b6c0
152021e18
hex15d4258

22889048 has 64 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 8654976.

The previous prime is 22889023. The next prime is 22889081. The reversal of 22889048 is 84098822.

It is a junction number, because it is equal to n+sod(n) for n = 22888996 and 22889014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16061 + ... + 17427.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 222889048 is an apocalyptic number.

22889048 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 22889048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

22889048 is an abundant number, since it is smaller than the sum of its proper divisors (32268712).

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

22889048 is a wasteful number, since it uses less digits than its factorization.

22889048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 22889048 is about 4784.2499934682. The cubic root of 22889048 is about 283.9286668693.

The spelling of 22889048 in words is "twenty-two million, eight hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 1367 2093 2392 2734 4186 5468 8372 9569 10936 16744 17771 19138 31441 35542 38276 62882 71084 76552 124397 125764 142168 220087 248794 251528 408733 440174 497588 817466 880348 995176 1634932 1760696 2861131 3269864 5722262 11444524 22889048