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22505343820 = 22519199359829
BaseRepresentation
bin10100111101011011…
…000100101101001100
32011002102202220212121
4110331123010231030
5332042332000240
614201103342324
71424463160201
oct247533045514
964072686777
1022505343820
1195a9752a03
124440bb19a4
1321787584bb
141136d27ca8
158baba004a
hex53d6c4b4c

22505343820 has 96 divisors (see below), whose sum is σ = 50198400000. Its totient is φ = 8451641088.

The previous prime is 22505343803. The next prime is 22505343829. The reversal of 22505343820 is 2834350522.

It is not an unprimeable number, because it can be changed into a prime (22505343829) 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, 27147166 + ... + 27147994.

It is an arithmetic number, because the mean of its divisors is an integer number (522900000).

Almost surely, 222505343820 is an apocalyptic number.

22505343820 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 22505343820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099200000).

22505343820 is an abundant number, since it is smaller than the sum of its proper divisors (27693056180).

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

22505343820 is a wasteful number, since it uses less digits than its factorization.

22505343820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 22505343820 in words is "twenty-two billion, five hundred five million, three hundred forty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 199 359 380 398 718 796 829 995 1436 1658 1795 1990 3316 3590 3781 3980 4145 6821 7180 7562 8290 13642 15124 15751 16580 18905 27284 31502 34105 37810 63004 68210 71441 75620 78755 136420 142882 157510 164971 285764 297611 315020 329942 357205 595222 659884 714410 824855 1190444 1357379 1428820 1488055 1649710 2714758 2976110 3134449 3299420 5429516 5654609 5952220 6268898 6786895 11309218 12537796 13573790 15672245 22618436 27147580 28273045 31344490 56546090 59224589 62688980 113092180 118449178 236898356 296122945 592245890 1125267191 1184491780 2250534382 4501068764 5626335955 11252671910 22505343820