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3055012224 = 273111315521
BaseRepresentation
bin1011011000010111…
…1100100110000000
321212220112200220220
42312011330212000
522224040342344
61223051303040
7135464114115
oct26605744600
97786480826
103055012224
1113285249a0
1271314aa80
13398c06154
1420da4690c
1512d30dc19
hexb617c980

3055012224 has 128 divisors (see below), whose sum is σ = 8921784960. Its totient is φ = 918528000.

The previous prime is 3055012201. The next prime is 3055012229. The reversal of 3055012224 is 4222105503.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 3055012194 and 3055012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055012229) 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, 550584 + ... + 556104.

It is an arithmetic number, because the mean of its divisors is an integer number (69701445).

Almost surely, 23055012224 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 3055012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460892480).

3055012224 is an abundant number, since it is smaller than the sum of its proper divisors (5866772736).

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

3055012224 is a wasteful number, since it uses less digits than its factorization.

3055012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3055012224 is about 55272.1650019248. The cubic root of 3055012224 is about 1451.0119331789.

Adding to 3055012224 its reverse (4222105503), we get a palindrome (7277117727).

The spelling of 3055012224 in words is "three billion, fifty-five million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 262 264 352 384 393 524 528 704 786 1048 1056 1408 1441 1572 2096 2112 2882 3144 4192 4224 4323 5521 5764 6288 8384 8646 11042 11528 12576 16563 16768 17292 22084 23056 25152 33126 34584 44168 46112 50304 60731 66252 69168 88336 92224 121462 132504 138336 176672 182193 184448 242924 265008 276672 353344 364386 485848 530016 553344 706688 723251 728772 971696 1060032 1446502 1457544 1943392 2120064 2169753 2893004 2915088 3886784 4339506 5786008 5830176 7773568 7955761 8679012 11572016 11660352 15911522 17358024 23144032 23320704 23867283 31823044 34716048 46288064 47734566 63646088 69432096 92576128 95469132 127292176 138864192 190938264 254584352 277728384 381876528 509168704 763753056 1018337408 1527506112 3055012224