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5582265220 = 2257254110529
BaseRepresentation
bin1010011001011101…
…01001101110000100
3112102001000110021201
411030232221232010
542413024441340
62321531152244
7255222320500
oct51456515604
915361013251
105582265220
112405052534
1210b95a5684
136ac68811c
143ad54d300
1522a11e79a
hex14cba9b84

5582265220 has 72 divisors (see below), whose sum is σ = 13663180440. Its totient is φ = 1910200320.

The previous prime is 5582265211. The next prime is 5582265223. The reversal of 5582265220 is 225622855.

It can be written as a sum of positive squares in 4 ways, for example, as 998433604 + 4583831616 = 31598^2 + 67704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5582265220.

It is not an unprimeable number, because it can be changed into a prime (5582265223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524916 + ... + 535444.

It is an arithmetic number, because the mean of its divisors is an integer number (189766395).

Almost surely, 25582265220 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 5582265220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831590220).

5582265220 is an abundant number, since it is smaller than the sum of its proper divisors (8080915220).

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

5582265220 is a wasteful number, since it uses less digits than its factorization.

5582265220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11093 (or 11084 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 5582265220 is about 74714.5582868560. The cubic root of 5582265220 is about 1773.9314041519.

The spelling of 5582265220 in words is "five billion, five hundred eighty-two million, two hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 541 980 1082 2164 2705 3787 5410 7574 10529 10820 15148 18935 21058 26509 37870 42116 52645 53018 73703 75740 105290 106036 132545 147406 210580 265090 294812 368515 515921 530180 737030 1031842 1474060 2063684 2579605 5159210 5696189 10318420 11392378 22784756 28480945 39873323 56961890 79746646 113923780 159493292 199366615 279113261 398733230 558226522 797466460 1116453044 1395566305 2791132610 5582265220