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221745342 = 23713478641
BaseRepresentation
bin11010011011110…
…01000010111110
3120110020211102110
431031321002332
5423231322332
634000434450
75331542610
oct1515710276
9513224373
10221745342
11104195615
1262318a26
1336c2bc80
1421642db0
15147024cc
hexd3790be

221745342 has 64 divisors (see below), whose sum is σ = 557512704. Its totient is φ = 57231360.

The previous prime is 221745317. The next prime is 221745353. The reversal of 221745342 is 243547122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21342 + ... + 29982.

It is an arithmetic number, because the mean of its divisors is an integer number (8711136).

Almost surely, 2221745342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221745342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278756352).

221745342 is an abundant number, since it is smaller than the sum of its proper divisors (335767362).

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

221745342 is a wasteful number, since it uses less digits than its factorization.

221745342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713.

The product of its digits is 13440, while the sum is 30.

The square root of 221745342 is about 14891.1162106808. The cubic root of 221745342 is about 605.2732795413.

The spelling of 221745342 in words is "two hundred twenty-one million, seven hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 182 273 282 329 546 611 658 987 1222 1833 1974 3666 4277 8554 8641 12831 17282 25662 25923 51846 60487 112333 120974 181461 224666 336999 362922 406127 673998 786331 812254 1218381 1572662 2358993 2436762 2842889 4717986 5279651 5685778 8528667 10559302 15838953 17057334 31677906 36957557 73915114 110872671 221745342