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206561334 = 23747269389
BaseRepresentation
bin11000100111111…
…10000000110110
3112101200101212210
430103332000312
5410334430314
632255154250
75055512430
oct1423760066
9471611783
10206561334
11a6664651
1259215986
1333a43955
141d60d650
1513203559
hexc4fe036

206561334 has 64 divisors (see below), whose sum is σ = 485222400. Its totient is φ = 57399168.

The previous prime is 206561297. The next prime is 206561347. The reversal of 206561334 is 433165602.

206561334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 530812 + ... + 531200.

It is an arithmetic number, because the mean of its divisors is an integer number (7581600).

Almost surely, 2206561334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206561334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242611200).

206561334 is an abundant number, since it is smaller than the sum of its proper divisors (278661066).

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

206561334 is a wasteful number, since it uses less digits than its factorization.

206561334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 206561334 is about 14372.2417875570. The cubic root of 206561334 is about 591.1300128246.

The spelling of 206561334 in words is "two hundred six million, five hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 269 282 329 389 538 658 778 807 987 1167 1614 1883 1974 2334 2723 3766 5446 5649 8169 11298 12643 16338 18283 25286 36566 37929 54849 75858 88501 104641 109698 127981 177002 209282 255962 265503 313923 383943 531006 627846 732487 767886 1464974 2197461 4394922 4918127 9836254 14754381 29508762 34426889 68853778 103280667 206561334