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203422344444 = 22321113115125969
BaseRepresentation
bin1011110101110011101…
…0101010010011111100
3201110001212000210111100
42331130322222103330
511313102110010234
6233241222453100
720460665253414
oct2753472522374
9643055023440
10203422344444
11792a8679240
1233511894190
131624b369567
149bba827644
155458b42399
hex2f5ceaa4fc

203422344444 has 144 divisors (see below), whose sum is σ = 568999791360. Its totient is φ = 60765120000.

The previous prime is 203422344413. The next prime is 203422344583. The reversal of 203422344444 is 444443224302.

203422344444 is a `hidden beast` number, since 2 + 0 + 342 + 234 + 44 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203422344399 and 203422344408.

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 47 ways as a sum of consecutive naturals, for example, 7820292 + ... + 7846260.

It is an arithmetic number, because the mean of its divisors is an integer number (3951387440).

Almost surely, 2203422344444 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 203422344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284499895680).

203422344444 is an abundant number, since it is smaller than the sum of its proper divisors (365577446916).

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

203422344444 is a wasteful number, since it uses less digits than its factorization.

203422344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26272 (or 26267 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 203422344444 its reverse (444443224302), we get a palindrome (647865568746).

The spelling of 203422344444 in words is "two hundred three billion, four hundred twenty-two million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 151 198 262 302 393 396 453 524 604 786 906 1179 1359 1441 1572 1661 1812 2358 2718 2882 3322 4323 4716 4983 5436 5764 6644 8646 9966 12969 14949 17292 19781 19932 25938 25969 29898 39562 51876 51938 59343 59796 77907 79124 103876 118686 155814 178029 217591 233721 237372 285659 311628 356058 435182 467442 571318 652773 712116 856977 870364 934884 1142636 1305546 1713954 1958319 2570931 2611092 3401939 3427908 3916638 3921319 5141862 6803878 7833276 7842638 10205817 10283724 11763957 13607756 15685276 20411634 23527914 30617451 35291871 37421329 40823268 43134509 47055828 61234902 70583742 74842658 86269018 112263987 122469804 129403527 141167484 149685316 172538036 224527974 258807054 336791961 388210581 449055948 513692789 517614108 673583922 776421162 1027385578 1347167844 1541078367 1552842324 2054771156 3082156734 4623235101 5650620679 6164313468 9246470202 11301241358 16951862037 18492940404 22602482716 33903724074 50855586111 67807448148 101711172222 203422344444