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20854224 = 2432971493
BaseRepresentation
bin100111110001…
…1010111010000
31110020111121200
41033203113100
520314313344
62022551200
7342154326
oct117432720
943214550
1020854224
11108540a6
126b98500
1344221a1
142aabd16
151c6e069
hex13e35d0

20854224 has 60 divisors (see below), whose sum is σ = 59004036. Its totient is φ = 6875136.

The previous prime is 20854217. The next prime is 20854231. The reversal of 20854224 is 42245802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20854217) and next prime (20854231).

It can be written as a sum of positive squares in 2 ways, for example, as 14197824 + 6656400 = 3768^2 + 2580^2 .

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 11 ways as a sum of consecutive naturals, for example, 13222 + ... + 14714.

Almost surely, 220854224 is an apocalyptic number.

20854224 is a gapful number since it is divisible by the number (24) 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 20854224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502018).

20854224 is an abundant number, since it is smaller than the sum of its proper divisors (38149812).

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

20854224 is a wasteful number, since it uses less digits than its factorization.

20854224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20854224 is about 4566.6425303498. The cubic root of 20854224 is about 275.2525459651.

The spelling of 20854224 in words is "twenty million, eight hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1493 1552 1746 2328 2986 3492 4479 4656 5972 6984 8958 11944 13437 13968 17916 23888 26874 35832 53748 71664 107496 144821 214992 289642 434463 579284 868926 1158568 1303389 1737852 2317136 2606778 3475704 5213556 6951408 10427112 20854224