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22834327488 = 263716989827
BaseRepresentation
bin10101010001000010…
…000010111111000000
32011221100211000121220
4111101002002333000
5333231041434423
614253454515040
71435566403230
oct252102027700
964840730556
1022834327488
119758423235
124513205a80
1321cb9637ab
1411688c3cc0
158d99d69e3
hex551082fc0

22834327488 has 56 divisors (see below), whose sum is σ = 69046660992. Its totient is φ = 6524093184.

The previous prime is 22834327469. The next prime is 22834327489. The reversal of 22834327488 is 88472343822.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22834327488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22834327489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8493570 + ... + 8496257.

Almost surely, 222834327488 is an apocalyptic number.

22834327488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22834327488 is an abundant number, since it is smaller than the sum of its proper divisors (46212333504).

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

22834327488 is a wasteful number, since it uses less digits than its factorization.

22834327488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16989849 (or 16989839 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 22834327488 in words is "twenty-two billion, eight hundred thirty-four million, three hundred twenty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 16989827 33979654 50969481 67959308 101938962 118928789 135918616 203877924 237857578 271837232 356786367 407755848 475715156 543674464 713572734 815511696 951430312 1087348928 1427145468 1631023392 1902860624 2854290936 3262046784 3805721248 5708581872 7611442496 11417163744 22834327488