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42220202224 = 244367915919
BaseRepresentation
bin100111010100100001…
…010010100011110000
311000222101202111101111
4213110201102203300
51142431332432344
631221245243104
73023153540404
oct472441224360
9130871674344
1042220202224
11169a6226912
128223563494
133c9b0383a5
1420873c7104
151171894834
hex9d48528f0

42220202224 has 40 divisors (see below), whose sum is σ = 84953411840. Its totient is φ = 20311397568.

The previous prime is 42220202221. The next prime is 42220202231.

42220202224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42220202195 and 42220202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220202221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411864 + ... + 504055.

It is an arithmetic number, because the mean of its divisors is an integer number (2123835296).

Almost surely, 242220202224 is an apocalyptic number.

It is an amenable number.

42220202224 is an abundant number, since it is smaller than the sum of its proper divisors (42733209616).

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

42220202224 is a wasteful number, since it uses less digits than its factorization.

42220202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916037 (or 916031 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The spelling of 42220202224 in words is "forty-two billion, two hundred twenty million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 43 67 86 134 172 268 344 536 688 1072 2881 5762 11524 23048 46096 915919 1831838 3663676 7327352 14654704 39384517 61366573 78769034 122733146 157538068 245466292 315076136 490932584 630152272 981865168 2638762639 5277525278 10555050556 21110101112 42220202224