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22744442880 = 211325246793
BaseRepresentation
bin10101001011101011…
…001010100000000000
32011201002200102010100
4111023223022200000
5333040034133010
614240524202400
71433425401045
oct251353124000
964632612110
1022744442880
119711710635
1244a9099400
1321b6152233
14115a9a71cc
158d1b7e2c0
hex54baca800

22744442880 has 144 divisors (see below), whose sum is σ = 78828471540. Its totient is φ = 6065160192.

The previous prime is 22744442867. The next prime is 22744442881. The reversal of 22744442880 is 8824444722.

It can be written as a sum of positive squares in 2 ways, for example, as 22341878784 + 402564096 = 149472^2 + 20064^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22744442881) 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 11 ways as a sum of consecutive naturals, for example, 31237 + ... + 215556.

Almost surely, 222744442880 is an apocalyptic number.

22744442880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22744442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414235770).

22744442880 is an abundant number, since it is smaller than the sum of its proper divisors (56084028660).

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

22744442880 is a wasteful number, since it uses less digits than its factorization.

22744442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246826 (or 246803 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 22744442880 in words is "twenty-two billion, seven hundred forty-four million, four hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 246793 493586 740379 987172 1233965 1480758 1974344 2221137 2467930 2961516 3701895 3948688 4442274 4935860 5923032 7403790 7897376 8884548 9871720 11105685 11846064 14807580 15794752 17769096 19743440 22211370 23692128 29615160 31589504 35538192 39486880 44422740 47384256 59230320 63179008 71076384 78973760 88845480 94768512 118460640 126358016 142152768 157947520 177690960 189537024 236921280 252716032 284305536 315895040 355381920 379074048 473842560 505432064 568611072 631790080 710763840 758148096 947685120 1137222144 1263580160 1421527680 1516296192 1895370240 2274444288 2527160320 2843055360 3790740480 4548888576 5686110720 7581480960 11372221440 22744442880