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22024141040 = 24511237710529
BaseRepresentation
bin10100100000101111…
…011011100011110000
32002211220022021202102
4110200233123203300
5330101140003130
614041233435532
71406531052506
oct244057334360
962756267672
1022024141040
119382065160
124327a0bba8
1320ccb55225
1410cd066676
1588d7eb645
hex520bdb8f0

22024141040 has 80 divisors (see below), whose sum is σ = 55890038880. Its totient is φ = 8004648960.

The previous prime is 22024140979. The next prime is 22024141057. The reversal of 22024141040 is 4014142022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086496 + ... + 2097024.

It is an arithmetic number, because the mean of its divisors is an integer number (698625486).

Almost surely, 222024141040 is an apocalyptic number.

22024141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22024141040 is an abundant number, since it is smaller than the sum of its proper divisors (33865897840).

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

22024141040 is a wasteful number, since it uses less digits than its factorization.

22024141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930 (or 12924 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22024141040 its reverse (4014142022), we get a palindrome (26038283062).

The spelling of 22024141040 in words is "twenty-two billion, twenty-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2377 4754 9508 10529 11885 19016 21058 23770 26147 38032 42116 47540 52294 52645 84232 95080 104588 105290 115819 130735 168464 190160 209176 210580 231638 261470 418352 421160 463276 522940 579095 842320 926552 1045880 1158190 1853104 2091760 2316380 4632760 9265520 25027433 50054866 100109732 125137165 200219464 250274330 275301763 400438928 500548660 550603526 1001097320 1101207052 1376508815 2002194640 2202414104 2753017630 4404828208 5506035260 11012070520 22024141040