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21994416 = 24355657
BaseRepresentation
bin101001111100…
…1101110110000
31112101102200000
41103321232300
521112310131
62103230000
7354643443
oct123715660
945342600
1021994416
1111462804
127448300
134731162
142cc765a
151de6ce6
hex14f9bb0

21994416 has 60 divisors (see below), whose sum is σ = 63844872. Its totient is φ = 7330176.

The previous prime is 21994403. The next prime is 21994421. The reversal of 21994416 is 61449912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 1060 + ... + 6716.

Almost surely, 221994416 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 21994416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31922436).

21994416 is an abundant number, since it is smaller than the sum of its proper divisors (41850456).

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

21994416 is an equidigital number, since it uses as much as digits as its factorization.

21994416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5662 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21994416 is about 4689.8204656468. The cubic root of 21994416 is about 280.1802241086.

The spelling of 21994416 in words is "twenty-one million, nine hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 5657 11314 16971 22628 33942 45256 50913 67884 90512 101826 135768 152739 203652 271536 305478 407304 458217 610956 814608 916434 1221912 1374651 1832868 2443824 2749302 3665736 5498604 7331472 10997208 21994416