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22430334520 = 235114710110739
BaseRepresentation
bin10100111000111100…
…111011111000111000
32010220012122001110101
4110320330323320320
5331414131201040
614145423525144
71422562461166
oct247074737070
963805561411
1022430334520
119570380350
12441ba597b4
1321660548b9
14112ada0236
158b42d509a
hex538f3be38

22430334520 has 128 divisors (see below), whose sum is σ = 56789683200. Its totient is φ = 7903168000.

The previous prime is 22430334517. The next prime is 22430334529. The reversal of 22430334520 is 2543303422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22430334529) 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, 2083311 + ... + 2094049.

It is an arithmetic number, because the mean of its divisors is an integer number (443669400).

Almost surely, 222430334520 is an apocalyptic number.

22430334520 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 22430334520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28394841600).

22430334520 is an abundant number, since it is smaller than the sum of its proper divisors (34359348680).

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

22430334520 is a wasteful number, since it uses less digits than its factorization.

22430334520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 22430334520 its reverse (2543303422), we get a palindrome (24973637942).

The spelling of 22430334520 in words is "twenty-two billion, four hundred thirty million, three hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 101 110 188 202 220 235 376 404 440 470 505 517 808 940 1010 1034 1111 1880 2020 2068 2222 2585 4040 4136 4444 4747 5170 5555 8888 9494 10340 10739 11110 18988 20680 21478 22220 23735 37976 42956 44440 47470 52217 53695 85912 94940 104434 107390 118129 189880 208868 214780 236258 261085 417736 429560 472516 504733 522170 590645 945032 1009466 1044340 1084639 1181290 2018932 2088680 2169278 2362580 2523665 4037864 4338556 4725160 5047330 5423195 5552063 8677112 10094660 10846390 11104126 11931029 20189320 21692780 22208252 23862058 27760315 43385560 44416504 47724116 50978033 55520630 59655145 95448232 101956066 111041260 119310290 203912132 222082520 238620580 254890165 407824264 477241160 509780330 560758363 1019560660 1121516726 2039121320 2243033452 2803791815 4486066904 5607583630 11215167260 22430334520