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424002200424 = 233118233195077
BaseRepresentation
bin1100010101110001000…
…00000010001101101000
31111112102102221111002220
412022320200002031220
523421324030403144
6522441154354040
742430112144505
oct6127040021550
91445372844086
10424002200424
11153900208880
126a21158b920
1330ca22280ba
1416743c124ac
15b068bc1919
hex62b8802368

424002200424 has 64 divisors (see below), whose sum is σ = 1156516021440. Its totient is φ = 128469250560.

The previous prime is 424002200423. The next prime is 424002200429.

424002200424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 424002200394 and 424002200403.

It is not an unprimeable number, because it can be changed into a prime (424002200423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075974 + ... + 2271050.

It is an arithmetic number, because the mean of its divisors is an integer number (18070562835).

Almost surely, 2424002200424 is an apocalyptic number.

424002200424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424002200424 is an abundant number, since it is smaller than the sum of its proper divisors (732513821016).

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

424002200424 is a wasteful number, since it uses less digits than its factorization.

424002200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203330 (or 203326 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 424002 and 200424, that added together give a palindrome (624426).

The spelling of 424002200424 in words is "four hundred twenty-four billion, two million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8233 16466 24699 32932 49398 65864 90563 98796 181126 195077 197592 271689 362252 390154 543378 585231 724504 780308 1086756 1170462 1560616 2145847 2173512 2340924 4291694 4681848 6437541 8583388 12875082 17166776 25750164 51500328 1606068941 3212137882 4818206823 6424275764 9636413646 12848551528 17666758351 19272827292 35333516702 38545654584 53000275053 70667033404 106000550106 141334066808 212001100212 424002200424