Search a number
-
+
22834724256 = 253410385531
BaseRepresentation
bin10101010001000011…
…100011110110100000
32011221101120011220000
4111101003203312200
5333231142134011
614253511220000
71435602645051
oct252103436640
964841504800
1022834724256
119758674343
124513377600
1321cba72276
141168988728
158d9a64356
hex5510e3da0

22834724256 has 120 divisors (see below), whose sum is σ = 67809085344. Its totient is φ = 7537587840.

The previous prime is 22834724183. The next prime is 22834724281. The reversal of 22834724256 is 65242743822.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224211 + ... + 309741.

Almost surely, 222834724256 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 22834724256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904542672).

22834724256 is an abundant number, since it is smaller than the sum of its proper divisors (44974361088).

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

22834724256 is a wasteful number, since it uses less digits than its factorization.

22834724256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85656 (or 85639 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 22834724256 in words is "twenty-two billion, eight hundred thirty-four million, seven hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 103 108 144 162 206 216 288 309 324 412 432 618 648 824 864 927 1236 1296 1648 1854 2472 2592 2781 3296 3708 4944 5562 7416 8343 9888 11124 14832 16686 22248 29664 33372 44496 66744 85531 88992 133488 171062 256593 266976 342124 513186 684248 769779 1026372 1368496 1539558 2052744 2309337 2736992 3079116 4105488 4618674 6158232 6928011 8210976 8809693 9237348 12316464 13856022 17619386 18474696 24632928 26429079 27712044 35238772 36949392 52858158 55424088 70477544 73898784 79287237 105716316 110848176 140955088 158574474 211432632 221696352 237861711 281910176 317148948 422865264 475723422 634297896 713585133 845730528 951446844 1268595792 1427170266 1902893688 2537191584 2854340532 3805787376 5708681064 7611574752 11417362128 22834724256