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22534405020 = 223252312742859
BaseRepresentation
bin10100111111001001…
…111011101110011100
32011011110110101100100
4110333021323232130
5332122301430040
614204022301100
71425265165551
oct247711735634
964143411310
1022534405020
1196140a2026
12444a887790
13218179208a
14113ab30a28
158bd4e0b30
hex53f27bb9c

22534405020 has 144 divisors (see below), whose sum is σ = 71889592320. Its totient is φ = 5702514048.

The previous prime is 22534404979. The next prime is 22534405031. The reversal of 22534405020 is 2050443522.

It is a happy number.

22534405020 is a `hidden beast` number, since 2 + 253 + 4 + 405 + 0 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504351 + ... + 547209.

It is an arithmetic number, because the mean of its divisors is an integer number (499233280).

Almost surely, 222534405020 is an apocalyptic number.

22534405020 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 22534405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35944796160).

22534405020 is an abundant number, since it is smaller than the sum of its proper divisors (49355187300).

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

22534405020 is a wasteful number, since it uses less digits than its factorization.

22534405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43024 (or 43019 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 22534405020 its reverse (2050443522), we get a palindrome (24584848542).

The spelling of 22534405020 in words is "twenty-two billion, five hundred thirty-four million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 127 138 180 207 230 254 276 345 381 414 460 508 635 690 762 828 1035 1143 1270 1380 1524 1905 2070 2286 2540 2921 3810 4140 4572 5715 5842 7620 8763 11430 11684 14605 17526 22860 26289 29210 35052 42859 43815 52578 58420 85718 87630 105156 128577 131445 171436 175260 214295 257154 262890 385731 428590 514308 525780 642885 771462 857180 985757 1285770 1542924 1928655 1971514 2571540 2957271 3857310 3943028 4928785 5443093 5914542 7714620 8871813 9857570 10886186 11829084 14786355 16329279 17743626 19715140 21772372 27215465 29572710 32658558 35487252 44359065 48987837 54430930 59145420 65317116 81646395 88718130 97975674 108861860 125191139 163292790 177436260 195951348 244939185 250382278 326585580 375573417 489878370 500764556 625955695 751146834 979756740 1126720251 1251911390 1502293668 1877867085 2253440502 2503822780 3755734170 4506881004 5633601255 7511468340 11267202510 22534405020