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22120222000 = 245325494339
BaseRepresentation
bin10100100110011101…
…111100110100110000
32010002121002201001111
4110212131330310300
5330300234101000
614054545043104
71412105533102
oct244635746460
963077081044
1022120222000
11942131a208
124354026494
132116a25c76
1410dbb17572
15896e79cba
hex52677cd30

22120222000 has 80 divisors (see below), whose sum is σ = 53520012000. Its totient is φ = 8842579200.

The previous prime is 22120221997. The next prime is 22120222013. The reversal of 22120222000 is 22202122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5095831 + ... + 5100169.

It is an arithmetic number, because the mean of its divisors is an integer number (669000150).

Almost surely, 222120222000 is an apocalyptic number.

22120222000 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 22120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26760006000).

22120222000 is an abundant number, since it is smaller than the sum of its proper divisors (31399790000).

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

22120222000 is a wasteful number, since it uses less digits than its factorization.

22120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22120222000 its reverse (22202122), we get a palindrome (22142424122).

The spelling of 22120222000 in words is "twenty-two billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2549 4339 5098 8678 10196 12745 17356 20392 21695 25490 34712 40784 43390 50980 63725 69424 86780 101960 108475 127450 173560 203920 216950 254900 318625 347120 433900 509800 542375 637250 867800 1019600 1084750 1274500 1735600 2169500 2549000 4339000 5098000 8678000 11060111 22120222 44240444 55300555 88480888 110601110 176961776 221202220 276502775 442404440 553005550 884808880 1106011100 1382513875 2212022200 2765027750 4424044400 5530055500 11060111000 22120222000