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22024101040 = 2452910788721
BaseRepresentation
bin10100100000101111…
…010001110010110000
32002211220020020212221
4110200233101302300
5330101132213130
614041232530424
71406530525054
oct244057216260
962756206787
1022024101040
1193820380a7
1243279b0a14
1320ccb3cc66
1410cd055c64
1588d7de87a
hex520bd1cb0

22024101040 has 80 divisors (see below), whose sum is σ = 53467426080. Its totient is φ = 8426270720.

The previous prime is 22024100993. The next prime is 22024101041. The reversal of 22024101040 is 4010142022.

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

It is a super-2 number, since 2×220241010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22024101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203880 + ... + 292600.

It is an arithmetic number, because the mean of its divisors is an integer number (668342826).

Almost surely, 222024101040 is an apocalyptic number.

22024101040 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 22024101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26733713040).

22024101040 is an abundant number, since it is smaller than the sum of its proper divisors (31443325040).

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

22024101040 is a wasteful number, since it uses less digits than its factorization.

22024101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88870 (or 88864 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22024101040 its reverse (4010142022), we get a palindrome (26034243062).

The spelling of 22024101040 in words is "twenty-two billion, twenty-four million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 107 116 145 214 232 290 428 464 535 580 856 1070 1160 1712 2140 2320 3103 4280 6206 8560 12412 15515 24824 31030 49648 62060 88721 124120 177442 248240 354884 443605 709768 887210 1419536 1774420 2572909 3548840 5145818 7097680 9493147 10291636 12864545 18986294 20583272 25729090 37972588 41166544 47465735 51458180 75945176 94931470 102916360 151890352 189862940 205832720 275301263 379725880 550602526 759451760 1101205052 1376506315 2202410104 2753012630 4404820208 5506025260 11012050520 22024101040