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22541440000 = 2105435221
BaseRepresentation
bin10100111111100100…
…110001010000000000
32011011221200210112011
4110333210301100000
5332131102040000
614204433142304
71425412035652
oct247744612000
964157623464
1022541440000
119618067562
1244510ba994
1321830861a1
14113ba426d2
158bde302ba
hex53f931400

22541440000 has 110 divisors (see below), whose sum is σ = 56309657954. Its totient is φ = 9016320000.

The previous prime is 22541439997. The next prime is 22541440021. The reversal of 22541440000 is 4414522.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 3704426496 + 18837013504 = 60864^2 + 137248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 622390 + ... + 657610.

Almost surely, 222541440000 is an apocalyptic number.

22541440000 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 22541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28154828977).

22541440000 is an abundant number, since it is smaller than the sum of its proper divisors (33768217954).

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

22541440000 is an frugal number, since it uses more digits than its factorization.

22541440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35261 (or 35228 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 22541440000 its reverse (4414522), we get a palindrome (22545854522).

The spelling of 22541440000 in words is "twenty-two billion, five hundred forty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 20000 25600 32000 35221 40000 64000 70442 80000 128000 140884 160000 176105 281768 320000 352210 563536 640000 704420 880525 1127072 1408840 1761050 2254144 2817680 3522100 4402625 4508288 5635360 7044200 8805250 9016576 11270720 14088400 17610500 18033152 22013125 22541440 28176800 35221000 36066304 44026250 45082880 56353600 70442000 88052500 90165760 112707200 140884000 176105000 180331520 225414400 281768000 352210000 450828800 563536000 704420000 901657600 1127072000 1408840000 2254144000 2817680000 4508288000 5635360000 11270720000 22541440000