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25760000224 = 257439261959
BaseRepresentation
bin10111111111011010…
…100110100011100000
32110111020222121010101
4113333122212203200
5410224030001344
615500050112144
71601233250320
oct277732464340
973436877111
1025760000224
11aa19937492
124baab7b654
132576b229aa
14136529d280
15a0b7979d4
hex5ff6a68e0

25760000224 has 48 divisors (see below), whose sum is σ = 58092249600. Its totient is φ = 11014809984.

The previous prime is 25760000209. The next prime is 25760000237. The reversal of 25760000224 is 42200006752.

It is a super-2 number, since 2×257600002242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 25760000192 and 25760000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32644 + ... + 229315.

It is an arithmetic number, because the mean of its divisors is an integer number (1210255200).

Almost surely, 225760000224 is an apocalyptic number.

It is an amenable number.

25760000224 is an abundant number, since it is smaller than the sum of its proper divisors (32332249376).

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

25760000224 is a wasteful number, since it uses less digits than its factorization.

25760000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262415 (or 262407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 25760000224 its reverse (42200006752), we get a palindrome (67960006976).

The spelling of 25760000224 in words is "twenty-five billion, seven hundred sixty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 439 878 1756 3073 3512 6146 7024 12292 14048 24584 49168 98336 261959 523918 1047836 1833713 2095672 3667426 4191344 7334852 8382688 14669704 29339408 58678816 115000001 230000002 460000004 805000007 920000008 1610000014 1840000016 3220000028 3680000032 6440000056 12880000112 25760000224