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20292224 = 27592687
BaseRepresentation
bin100110101101…
…0001010000000
31102011221200212
41031122022000
520143322344
62002533252
7334324001
oct115321200
942157625
1020292224
11104aa937
126967228
134286444
1429a31a8
151bac79e
hex135a280

20292224 has 32 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 9970432.

The previous prime is 20292221. The next prime is 20292227. The reversal of 20292224 is 42229202.

It is an interprime number because it is at equal distance from previous prime (20292221) and next prime (20292227).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20292224.

It is not an unprimeable number, because it can be changed into a prime (20292221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6209 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 220292224 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 20292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

20292224 is an abundant number, since it is smaller than the sum of its proper divisors (20834176).

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

20292224 is an equidigital number, since it uses as much as digits as its factorization.

20292224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20292224 is about 4504.6891124694. The cubic root of 20292224 is about 272.7574045631.

The spelling of 20292224 in words is "twenty million, two hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 2687 3776 5374 7552 10748 21496 42992 85984 158533 171968 317066 343936 634132 1268264 2536528 5073056 10146112 20292224