Search a number
-
+
2234523228834 = 23134710728320129
BaseRepresentation
bin100000100001000011111…
…101101001101010100010
321220121200202200021022110
4200201003331221222202
5243102300421310314
64430305323420150
7320303366026011
oct40410375515242
97817622607273
102234523228834
11791724121866
12301095384656
1313293a0960b0
147a219a10a78
153d1d2206a59
hex20843f69aa2

2234523228834 has 128 divisors (see below), whose sum is σ = 4978934231040. Its totient is φ = 664239458304.

The previous prime is 2234523228829. The next prime is 2234523228869. The reversal of 2234523228834 is 4388223254322.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111000082 + ... + 111020210.

It is an arithmetic number, because the mean of its divisors is an integer number (38897923680).

Almost surely, 22234523228834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234523228834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489467115520).

2234523228834 is an abundant number, since it is smaller than the sum of its proper divisors (2744411002206).

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

2234523228834 is a wasteful number, since it uses less digits than its factorization.

2234523228834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20584.

The product of its digits is 4423680, while the sum is 48.

The spelling of 2234523228834 in words is "two trillion, two hundred thirty-four billion, five hundred twenty-three million, two hundred twenty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 47 78 94 107 141 214 282 283 321 566 611 642 849 1222 1391 1698 1833 2782 3666 3679 4173 5029 7358 8346 10058 11037 13301 15087 20129 22074 26602 30174 30281 39903 40258 60387 60562 65377 79806 90843 120774 130754 172913 181686 196131 261677 345826 392262 393653 518739 523354 785031 787306 946063 1037478 1180959 1423207 1570062 1892126 2153803 2361918 2838189 2846414 4269621 4307606 5676378 5696507 6461409 8539242 11393014 12298819 12922818 17089521 18501691 24597638 27999439 34179042 36896457 37003382 55505073 55998878 73792914 74054591 83998317 101228741 111010146 148109182 167996634 202457482 222163773 267735829 303686223 444327546 535471658 607372446 609526249 803207487 1219052498 1315973633 1606414974 1828578747 2631947266 3480565777 3657157494 3947920899 6961131554 7895841798 7923841237 10441697331 15847682474 20883394662 23771523711 28647733703 47543047422 57295467406 85943201109 171886402218 372420538139 744841076278 1117261614417 2234523228834