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22530504540 = 2235798115861
BaseRepresentation
bin10100111110111011…
…000011011101011100
32011011012010012220010
4110332323003131130
5332120302121130
614203402523220
71425220062105
oct247673033534
964135105803
1022530504540
119611978595
124449506510
132180a278bb
14113a3d73ac
158bcec00b0
hex53eec375c

22530504540 has 96 divisors (see below), whose sum is σ = 63973647360. Its totient is φ = 5923756800.

The previous prime is 22530504533. The next prime is 22530504547. The reversal of 22530504540 is 4540503522.

It is an interprime number because it is at equal distance from previous prime (22530504533) and next prime (22530504547).

It is a super-2 number, since 2×225305045402 (a number of 22 digits) contains 22 as substring.

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 = 22530504498 and 22530504507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530504547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3841210 + ... + 3847070.

It is an arithmetic number, because the mean of its divisors is an integer number (666392160).

Almost surely, 222530504540 is an apocalyptic number.

22530504540 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 22530504540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986823680).

22530504540 is an abundant number, since it is smaller than the sum of its proper divisors (41443142820).

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

22530504540 is a wasteful number, since it uses less digits than its factorization.

22530504540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 22530504540 in words is "twenty-two billion, five hundred thirty million, five hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 811 948 1185 1580 1622 2370 2433 3244 4055 4740 4866 5861 8110 9732 11722 12165 16220 17583 23444 24330 29305 35166 48660 58610 64069 70332 87915 117220 128138 175830 192207 256276 320345 351660 384414 463019 640690 768828 926038 961035 1281380 1389057 1852076 1922070 2315095 2778114 3844140 4630190 4753271 5556228 6945285 9260380 9506542 13890570 14259813 19013084 23766355 27781140 28519626 47532710 57039252 71299065 95065420 142598130 285196260 375508409 751016818 1126525227 1502033636 1877542045 2253050454 3755084090 4506100908 5632626135 7510168180 11265252270 22530504540