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201220422424 = 23729983126047
BaseRepresentation
bin1011101101100110101…
…0111111101100011000
3201020101101201120022221
42323121222333230120
511244044412004144
6232234523553424
720352300240610
oct2733152775430
9636341646287
10201220422424
117837875667a
1232bb838b874
1315c8a114118
149a4c209a40
15537a695d84
hex2ed9abfb18

201220422424 has 64 divisors (see below), whose sum is σ = 446512435200. Its totient is φ = 83178259584.

The previous prime is 201220422413. The next prime is 201220422449. The reversal of 201220422424 is 424224022102.

201220422424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533369 + ... + 1659415.

It is an arithmetic number, because the mean of its divisors is an integer number (6976756800).

Almost surely, 2201220422424 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 201220422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223256217600).

201220422424 is an abundant number, since it is smaller than the sum of its proper divisors (245292012776).

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

201220422424 is a wasteful number, since it uses less digits than its factorization.

201220422424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127072 (or 127068 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 201220422424 its reverse (424224022102), we get a palindrome (625444444526).

The spelling of 201220422424 in words is "two hundred one billion, two hundred twenty million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 983 1624 1966 3932 6881 7864 13762 27524 28507 55048 57014 114028 126047 199549 228056 252094 399098 504188 798196 882329 1008376 1596392 1764658 3529316 3655363 7058632 7310726 14621452 25587541 29242904 51175082 102350164 123904201 204700328 247808402 495616804 867329407 991233608 1734658814 3469317628 3593221829 6938635256 7186443658 14372887316 25152552803 28745774632 50305105606 100610211212 201220422424