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2204525344 = 25723449953
BaseRepresentation
bin1000001101100110…
…0110001100100000
312200122012111020211
42003121212030200
514003324302334
61002430343504
7105426104410
oct20331461440
95618174224
102204525344
11a3144057a
1251635ab94
13291957388
1416cad8640
15cd812a64
hex83666320

2204525344 has 96 divisors (see below), whose sum is σ = 5192812800. Its totient is φ = 900759552.

The previous prime is 2204525341. The next prime is 2204525381. The reversal of 2204525344 is 4435254022.

It is not an unprimeable number, because it can be changed into a prime (2204525341) 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, 2312772 + ... + 2313724.

It is an arithmetic number, because the mean of its divisors is an integer number (54091800).

Almost surely, 22204525344 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 2204525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596406400).

2204525344 is an abundant number, since it is smaller than the sum of its proper divisors (2988287456).

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

2204525344 is a wasteful number, since it uses less digits than its factorization.

2204525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 2204525344 is about 46952.3731455610. The cubic root of 2204525344 is about 1301.4825972726.

Adding to 2204525344 its reverse (4435254022), we get a palindrome (6639779366).

The spelling of 2204525344 in words is "two billion, two hundred four million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 449 644 736 898 953 1288 1796 1906 2576 3143 3592 3812 5152 6286 6671 7184 7624 10327 12572 13342 14368 15248 20654 21919 25144 26684 30496 41308 43838 50288 53368 72289 82616 87676 100576 106736 144578 153433 165232 175352 213472 289156 306866 330464 350704 427897 578312 613732 701408 855794 1156624 1227464 1711588 2313248 2454928 2995279 3423176 4909856 5990558 6846352 9841631 11981116 13692704 19683262 23962232 39366524 47924464 68891417 78733048 95848928 137782834 157466096 275565668 314932192 551131336 1102262672 2204525344