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5205445224 = 2337217872477
BaseRepresentation
bin1001101100100010…
…01100101001101000
3111102202222000102120
410312101030221220
541130043221344
62220310431240
7242665361100
oct46621145150
914382860376
105205445224
11223137a051
121013362520
1364c5a1505
143754a0200
15206ed9219
hex13644ca68

5205445224 has 96 divisors (see below), whose sum is σ = 15152870880. Its totient is φ = 1485837696.

The previous prime is 5205445207. The next prime is 5205445241. The reversal of 5205445224 is 4225445025.

It is an interprime number because it is at equal distance from previous prime (5205445207) and next prime (5205445241).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2100274 + ... + 2102750.

It is an arithmetic number, because the mean of its divisors is an integer number (157842405).

Almost surely, 25205445224 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 5205445224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576435440).

5205445224 is an abundant number, since it is smaller than the sum of its proper divisors (9947425656).

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

5205445224 is a wasteful number, since it uses less digits than its factorization.

5205445224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

The square root of 5205445224 is about 72148.7714656320. The cubic root of 5205445224 is about 1733.0827261290.

The spelling of 5205445224 in words is "five billion, two hundred five million, four hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1787 2477 3574 4954 5361 7148 7431 9908 10722 12509 14296 14862 17339 19816 21444 25018 29724 34678 37527 42888 50036 52017 59448 69356 75054 87563 100072 104034 121373 138712 150108 175126 208068 242746 262689 300216 350252 364119 416136 485492 525378 700504 728238 970984 1050756 1456476 2101512 2912952 4426399 8852798 13279197 17705596 26558394 30984793 35411192 53116788 61969586 92954379 106233576 123939172 185908758 216893551 247878344 371817516 433787102 650680653 743635032 867574204 1301361306 1735148408 2602722612 5205445224