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212211022000 = 2453139763349
BaseRepresentation
bin1100010110100011000…
…0110011100010110000
3202021202100110212121111
43011220300303202300
511434102010201000
6241253254403104
721221533632145
oct3055060634260
9667670425544
10212211022000
1181aa865381a
1235165060494
131701c0c9a93
14a3b1b503cc
1557c04c9cba
hex3168c338b0

212211022000 has 80 divisors (see below), whose sum is σ = 516818484000. Its totient is φ = 84273619200.

The previous prime is 212211021949. The next prime is 212211022007. The reversal of 212211022000 is 220112212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (212211022007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103675 + ... + 659674.

It is an arithmetic number, because the mean of its divisors is an integer number (6460231050).

Almost surely, 2212211022000 is an apocalyptic number.

212211022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211022000 is an abundant number, since it is smaller than the sum of its proper divisors (304607462000).

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

212211022000 is a wasteful number, since it uses less digits than its factorization.

212211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763511 (or 763495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212211022000 its reverse (220112212), we get a palindrome (212431134212).

The spelling of 212211022000 in words is "two hundred twelve billion, two hundred eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 400 500 556 695 1000 1112 1390 2000 2224 2780 3475 5560 6950 11120 13900 17375 27800 34750 55600 69500 139000 278000 763349 1526698 3053396 3816745 6106792 7633490 12213584 15266980 19083725 30533960 38167450 61067920 76334900 95418625 106105511 152669800 190837250 212211022 305339600 381674500 424422044 530527555 763349000 848844088 1061055110 1526698000 1697688176 2122110220 2652637775 4244220440 5305275550 8488440880 10610551100 13263188875 21221102200 26526377750 42442204400 53052755500 106105511000 212211022000