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520222338 = 234171091733
BaseRepresentation
bin11111000000011…
…111011010000010
31100020220000220000
4133000133122002
52031134103323
6123342100430
715614550126
oct3700373202
91306800800
10520222338
11247719819
1212627a716
1383a1578c
144d13b586
1530a0ee43
hex1f01f682

520222338 has 80 divisors (see below), whose sum is σ = 1246295160. Its totient is φ = 161616384.

The previous prime is 520222333. The next prime is 520222361. The reversal of 520222338 is 833222025.

It can be written as a sum of positive squares in 4 ways, for example, as 505035729 + 15186609 = 22473^2 + 3897^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (520222333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 299320 + ... + 301052.

Almost surely, 2520222338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520222338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623147580).

520222338 is an abundant number, since it is smaller than the sum of its proper divisors (726072822).

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

520222338 is a wasteful number, since it uses less digits than its factorization.

520222338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 520222338 is about 22808.3830641280. The cubic root of 520222338 is about 804.2597456592.

The spelling of 520222338 in words is "five hundred twenty million, two hundred twenty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 109 153 162 218 306 327 459 654 918 981 1377 1733 1853 1962 2754 2943 3466 3706 5199 5559 5886 8829 10398 11118 15597 16677 17658 29461 31194 33354 46791 50031 58922 88383 93582 100062 140373 150093 176766 188897 265149 280746 300186 377794 530298 566691 795447 1133382 1590894 1700073 2386341 3211249 3400146 4772682 5100219 6422498 9633747 10200438 15300657 19267494 28901241 30601314 57802482 86703723 173407446 260111169 520222338