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22980309120 = 27345443293
BaseRepresentation
bin10101011001101110…
…111011000010000000
32012022112111122210000
4111121232323002000
5334030424342440
614320151440000
71442321255526
oct253156730200
965275448700
1022980309120
11982287040a
124554086000
132222c86662
141180044316
158e7720730
hex559bbb080

22980309120 has 160 divisors (see below), whose sum is σ = 82067018220. Its totient is φ = 6128068608.

The previous prime is 22980309103. The next prime is 22980309127. The reversal of 22980309120 is 2190308922.

22980309120 is a `hidden beast` number, since 229 + 8 + 0 + 309 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21637233216 + 1343075904 = 147096^2 + 36648^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22980309127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169807 + ... + 273486.

Almost surely, 222980309120 is an apocalyptic number.

22980309120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22980309120 is an abundant number, since it is smaller than the sum of its proper divisors (59086709100).

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

22980309120 is an equidigital number, since it uses as much as digits as its factorization.

22980309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443324 (or 443303 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 22980309120 in words is "twenty-two billion, nine hundred eighty million, three hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 443293 886586 1329879 1773172 2216465 2659758 3546344 3989637 4432930 5319516 6649395 7092688 7979274 8865860 10639032 11968911 13298790 14185376 15958548 17731720 19948185 21278064 23937822 26597580 28370752 31917096 35463440 35906733 39896370 42556128 47875644 53195160 56741504 59844555 63834192 70926880 71813466 79792740 85112256 95751288 106390320 119689110 127668384 141853760 143626932 159585480 170224512 179533665 191502576 212780640 239378220 255336768 283707520 287253864 319170960 359067330 383005152 425561280 478756440 510673536 574507728 638341920 718134660 766010304 851122560 957512880 1149015456 1276683840 1436269320 1532020608 1915025760 2298030912 2553367680 2872538640 3830051520 4596061824 5745077280 7660103040 11490154560 22980309120