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21985712 = 247229967
BaseRepresentation
bin101001111011…
…1100110110000
31112100222201122
41103313212300
521112020322
62103121412
7354606200
oct123674660
945328648
1021985712
1111457211
127443268
13472a1c8
142cc4400
151de4442
hex14f79b0

21985712 has 60 divisors (see below), whose sum is σ = 51313680. Its totient is φ = 9088128.

The previous prime is 21985703. The next prime is 21985753. The reversal of 21985712 is 21758912.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22253 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (855228).

Almost surely, 221985712 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 21985712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656840).

21985712 is an abundant number, since it is smaller than the sum of its proper divisors (29327968).

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

21985712 is a wasteful number, since it uses less digits than its factorization.

21985712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 21985712 is about 4688.8924065284. The cubic root of 21985712 is about 280.1432600229.

The spelling of 21985712 in words is "twenty-one million, nine hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 967 1421 1624 1934 2842 3248 3868 5684 6769 7736 11368 13538 15472 22736 27076 28043 47383 54152 56086 94766 108304 112172 189532 196301 224344 379064 392602 448688 758128 785204 1374107 1570408 2748214 3140816 5496428 10992856 21985712