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225574085504 = 2713117377761
BaseRepresentation
bin1101001000010101000…
…0110110001110000000
3210120020122102211120102
43102011100312032000
512143433431214004
6251343255301532
722203636043025
oct3220520661600
9716218384512
10225574085504
1187735766159
123787437a8a8
131836b779a51
14acbc7c754c
155d0374611e
hex3485436380

225574085504 has 64 divisors (see below), whose sum is σ = 455439592080. Its totient is φ = 111277670400.

The previous prime is 225574085449. The next prime is 225574085519. The reversal of 225574085504 is 405580475522.

It is a tau number, because it is divible by the number of its divisors (64).

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, 2861984 + ... + 2939744.

Almost surely, 2225574085504 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 225574085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227719796040).

225574085504 is an abundant number, since it is smaller than the sum of its proper divisors (229865506576).

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

225574085504 is a wasteful number, since it uses less digits than its factorization.

225574085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78079 (or 78067 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 47.

The spelling of 225574085504 in words is "two hundred twenty-five billion, five hundred seventy-four million, eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 131 173 262 346 524 692 1048 1384 2096 2768 4192 5536 8384 11072 16768 22144 22663 45326 77761 90652 155522 181304 311044 362608 622088 725216 1244176 1450432 2488352 2900864 4976704 9953408 10186691 13452653 20373382 26905306 40746764 53810612 81493528 107621224 162987056 215242448 325974112 430484896 651948224 860969792 1303896448 1721939584 1762297543 3524595086 7049190172 14098380344 28196760688 56393521376 112787042752 225574085504