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22541145240 = 23351743256967
BaseRepresentation
bin10100111111100011…
…101001010010011000
32011011221010211012010
4110333203221102120
5332131013121430
614204422545520
71425406400415
oct247743512230
964157124163
1022541145240
119617986059
124450b982a0
132182cb1c83
14113b9a710c
158bddc2cb0
hex53f8e9498

22541145240 has 128 divisors (see below), whose sum is σ = 73266716160. Its totient is φ = 5525796864.

The previous prime is 22541145199. The next prime is 22541145269. The reversal of 22541145240 is 4254114522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22541145198 and 22541145207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40764 + ... + 216203.

It is an arithmetic number, because the mean of its divisors is an integer number (572396220).

Almost surely, 222541145240 is an apocalyptic number.

22541145240 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 22541145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36633358080).

22541145240 is an abundant number, since it is smaller than the sum of its proper divisors (50725570920).

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

22541145240 is a wasteful number, since it uses less digits than its factorization.

22541145240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257041 (or 257037 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 22541145240 its reverse (4254114522), we get a palindrome (26795259762).

The spelling of 22541145240 in words is "twenty-two billion, five hundred forty-one million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 14620 17544 21930 29240 43860 87720 256967 513934 770901 1027868 1284835 1541802 2055736 2569670 3083604 3854505 4368439 5139340 6167208 7709010 8736878 10278680 11049581 13105317 15418020 17473756 21842195 22099162 26210634 30836040 33148743 34947512 43684390 44198324 52421268 55247905 65526585 66297486 87368780 88396648 104842536 110495810 131053170 132594972 165743715 174737560 187842877 220991620 262106340 265189944 331487430 375685754 441983240 524212680 563528631 662974860 751371508 939214385 1127057262 1325949720 1502743016 1878428770 2254114524 2817643155 3756857540 4508229048 5635286310 7513715080 11270572620 22541145240