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22134532050 = 2325267799293
BaseRepresentation
bin10100100111010100…
…100010011111010010
32010010121000201202100
4110213110202133102
5330312420011200
614100215501230
71412341263261
oct244724423722
963117021670
1022134532050
1194294035a4
124358987816
132119996557
1410dd9a05d8
15898354d00
hex5275227d2

22134532050 has 144 divisors (see below), whose sum is σ = 61126266240. Its totient is φ = 5740225920.

The previous prime is 22134532039. The next prime is 22134532051. The reversal of 22134532050 is 5023543122.

It is a happy number.

22134532050 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 453 + 205 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (22134532051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2377204 + ... + 2386496.

It is an arithmetic number, because the mean of its divisors is an integer number (424487960).

Almost surely, 222134532050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134532050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563133120).

22134532050 is an abundant number, since it is smaller than the sum of its proper divisors (38991734190).

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

22134532050 is a wasteful number, since it uses less digits than its factorization.

22134532050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 22134532050 in words is "twenty-two billion, one hundred thirty-four million, five hundred thirty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 67 75 79 90 134 150 158 201 225 237 335 395 402 450 474 603 670 711 790 1005 1185 1206 1422 1675 1975 2010 2370 3015 3350 3555 3950 5025 5293 5925 6030 7110 9293 10050 10586 11850 15075 15879 17775 18586 26465 27879 30150 31758 35550 46465 47637 52930 55758 79395 83637 92930 95274 132325 139395 158790 167274 232325 238185 264650 278790 396975 418185 464650 476370 622631 696975 734147 793950 836370 1190925 1245262 1393950 1468294 1867893 2090925 2202441 2381850 3113155 3670735 3735786 4181850 4404882 5603679 6226310 6607323 7341470 9339465 11012205 11207358 13214646 15565775 18353675 18678930 22024410 28018395 31131550 33036615 36707350 46697325 49187849 55061025 56036790 66073230 93394650 98375698 110122050 140091975 147563547 165183075 245939245 280183950 295127094 330366150 442690641 491878490 737817735 885381282 1229696225 1475635470 2213453205 2459392450 3689088675 4426906410 7378177350 11067266025 22134532050