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6225844056 = 2332389353359
BaseRepresentation
bin1011100110001011…
…01101011101011000
3121001220000122110220
411303011231131120
5100222304002211
62505441240040
7310165541565
oct56305553530
917056018426
106225844056
112705365873
121259033020
13782b014c3
14430bdb86c
15266899806
hex17316d758

6225844056 has 128 divisors (see below), whose sum is σ = 16516224000. Its totient is φ = 1951735808.

The previous prime is 6225844043. The next prime is 6225844061. The reversal of 6225844056 is 6504485226.

It is a happy number.

It is a super-2 number, since 2×62258440562 = 77522268419261062272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6225843999 and 6225844017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17342005 + ... + 17342363.

It is an arithmetic number, because the mean of its divisors is an integer number (129033000).

Almost surely, 26225844056 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 6225844056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258112000).

6225844056 is an abundant number, since it is smaller than the sum of its proper divisors (10290379944).

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

6225844056 is a wasteful number, since it uses less digits than its factorization.

6225844056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 6225844056 is about 78904.0179965507. The cubic root of 6225844056 is about 1839.6395852045.

It can be divided in two parts, 622584 and 4056, that added together give a triangular number (626640 = T1119).

The spelling of 6225844056 in words is "six billion, two hundred twenty-five million, eight hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 353 356 359 534 552 706 712 718 1059 1068 1077 1412 1436 2047 2118 2136 2154 2824 2872 4094 4236 4308 6141 8119 8188 8257 8472 8616 12282 16238 16376 16514 24357 24564 24771 31417 31951 32476 33028 48714 49128 49542 62834 63902 64952 66056 94251 95853 97428 99084 125668 126727 127804 188502 191706 194856 198168 251336 253454 255608 377004 380181 383412 506908 722591 734873 754008 760362 766824 1013816 1445182 1469746 1520724 2167773 2204619 2890364 2914721 2939492 3041448 4335546 4409238 5780728 5829442 5878984 8671092 8744163 8818476 11278703 11658884 17342184 17488326 17636952 22557406 23317768 33836109 34976652 45114812 67672218 69953304 90229624 135344436 259410169 270688872 518820338 778230507 1037640676 1556461014 2075281352 3112922028 6225844056