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22012012222000 = 245373376140087
BaseRepresentation
bin1010000000101000100100…
…01010110101011000110000
32212221022211222102110101221
411000110102022311120300
510341121100112101000
6114452102342434424
74431213116516233
oct500242212653060
985838758373357
1022012012222000
117017273058019
1225760aa432a14
13c3895439b978
1456155c1cb41a
152828b26ea61a
hex1405122b5630

22012012222000 has 160 divisors (see below), whose sum is σ = 53969847744384. Its totient is φ = 8681665536000.

The previous prime is 22012012221977. The next prime is 22012012222093. The reversal of 22012012222000 is 22221021022.

It is a super-2 number, since 2×220120122220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549085957 + ... + 549126043.

Almost surely, 222012012222000 is an apocalyptic number.

22012012222000 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 22012012222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984923872192).

22012012222000 is an abundant number, since it is smaller than the sum of its proper divisors (31957835522384).

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

22012012222000 is a wasteful number, since it uses less digits than its factorization.

22012012222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43944 (or 43928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22012012222000 its reverse (22221021022), we get a palindrome (22034233243022).

The spelling of 22012012222000 in words is "twenty-two trillion, twelve billion, twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 3761 5840 7300 7522 9125 14600 15044 18250 18805 29200 30088 36500 37610 40087 60176 73000 75220 80174 94025 146000 150440 160348 188050 200435 274553 300880 320696 376100 400870 470125 549106 641392 752200 801740 940250 1002175 1098212 1372765 1504400 1603480 1880500 2004350 2196424 2745530 2926351 3206960 3761000 4008700 4392848 5010875 5491060 5852702 6863825 7522000 8017400 10021750 10982120 11705404 13727650 14631755 16034800 20043500 21964240 23410808 27455300 29263510 34319125 40087000 46821616 54910600 58527020 68638250 73158775 80174000 109821200 117054040 137276500 146317550 150767207 234108080 274553000 292635100 301534414 365793875 549106000 585270200 603068828 731587750 753836035 1170540400 1206137656 1463175500 1507672070 2412275312 2926351000 3015344140 3769180175 5852702000 6030688280 7538360350 11006006111 12061376560 15076720700 18845900875 22012012222 30153441400 37691801750 44024024444 55030030555 60306882800 75383603500 88048048888 110060061110 150767207000 176096097776 220120122220 275150152775 301534414000 440240244440 550300305550 880480488880 1100600611100 1375750763875 2201201222200 2751501527750 4402402444400 5503003055500 11006006111000 22012012222000