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22834424832 = 210348715263
BaseRepresentation
bin10101010001000010…
…011010110000000000
32011221100222222011020
4111101002122300000
5333231103043312
614253500545440
71435600260102
oct252102326000
964840888136
1022834424832
11975848a38a
124513252280
1321cb998bab
14116890b572
158d9a0578c
hex55109ac00

22834424832 has 88 divisors (see below), whose sum is σ = 60991036416. Its totient is φ = 7595347968.

The previous prime is 22834424797. The next prime is 22834424849. The reversal of 22834424832 is 23842443822.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1488433 + ... + 1503695.

Almost surely, 222834424832 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 22834424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30495518208).

22834424832 is an abundant number, since it is smaller than the sum of its proper divisors (38156611584).

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

22834424832 is a wasteful number, since it uses less digits than its factorization.

22834424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15755 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 22834424832 in words is "twenty-two billion, eight hundred thirty-four million, four hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 487 512 768 974 1024 1461 1536 1948 2922 3072 3896 5844 7792 11688 15263 15584 23376 30526 31168 45789 46752 61052 62336 91578 93504 122104 124672 183156 187008 244208 249344 366312 374016 488416 498688 732624 748032 976832 1465248 1496064 1953664 2930496 3907328 5860992 7433081 7814656 11721984 14866162 15629312 22299243 23443968 29732324 44598486 46887936 59464648 89196972 118929296 178393944 237858592 356787888 475717184 713575776 951434368 1427151552 1902868736 2854303104 3805737472 5708606208 7611474944 11417212416 22834424832