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2210241200032 = 254112756323561
BaseRepresentation
bin100000001010011100101…
…001000011111110100000
321211022000111202101211101
4200022130221003332200
5242203033221400112
64411212031324144
7315453560135065
oct40123451037640
97738014671741
102210241200032
117823a359a168
122b8439380654
1313056a521b08
1478d94b5cc6c
153c7605a6757
hex2029ca43fa0

2210241200032 has 96 divisors (see below), whose sum is σ = 4500813993984. Its totient is φ = 1067731660800.

The previous prime is 2210241200023. The next prime is 2210241200081. The reversal of 2210241200032 is 2300021420122.

It is a junction number, because it is equal to n+sod(n) for n = 2210241199982 and 2210241200009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93797532 + ... + 93821092.

It is an arithmetic number, because the mean of its divisors is an integer number (46883479104).

Almost surely, 22210241200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210241200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250406996992).

2210241200032 is an abundant number, since it is smaller than the sum of its proper divisors (2290572793952).

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

2210241200032 is a wasteful number, since it uses less digits than its factorization.

2210241200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24302 (or 24294 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2210241200032 its reverse (2300021420122), we get a palindrome (4510262620154).

The spelling of 2210241200032 in words is "two trillion, two hundred ten billion, two hundred forty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 127 164 254 328 508 563 656 1016 1126 1312 2032 2252 4064 4504 5207 9008 10414 18016 20828 23083 23561 41656 46166 47122 71501 83312 92332 94244 143002 166624 184664 188488 286004 369328 376976 572008 738656 753952 966001 1144016 1932002 2288032 2931541 2992247 3864004 5863082 5984494 7728008 11726164 11968988 13264843 15456016 23452328 23937976 26529686 30912032 46904656 47875952 53059372 93809312 95751904 106118744 122682127 212237488 245364254 424474976 490728508 543858563 981457016 1087717126 1684635061 1962914032 2175434252 3369270122 3925828064 4350868504 6738540244 8701737008 13477080488 17403474016 26954160976 53908321952 69070037501 138140075002 276280150004 552560300008 1105120600016 2210241200032