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22121410000 = 24542212141
BaseRepresentation
bin10100100110100010…
…011110110111010000
32010002200100001200111
4110212202132313100
5330301040110000
614055030331104
71412121611464
oct244642366720
963080301614
1022121410000
119421a60828
1243544b9a94
132117050921
1410dbd464a4
15897111cba
hex52689edd0

22121410000 has 50 divisors (see below), whose sum is σ = 53558169962. Its totient is φ = 8848560000.

The previous prime is 22121409997. The next prime is 22121410009. The reversal of 22121410000 is 1412122.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8825475136 + 13295934864 = 93944^2 + 115308^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121410009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1096071 + ... + 1116070.

Almost surely, 222121410000 is an apocalyptic number.

22121410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121410000 is an abundant number, since it is smaller than the sum of its proper divisors (31436759962).

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

22121410000 is an equidigital number, since it uses as much as digits as its factorization.

22121410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212169 (or 2212148 counting only the distinct ones).

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

Adding to 22121410000 its reverse (1412122), we get a palindrome (22122822122).

The spelling of 22121410000 in words is "twenty-two billion, one hundred twenty-one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2212141 4424282 8848564 11060705 17697128 22121410 35394256 44242820 55303525 88485640 110607050 176971280 221214100 276517625 442428200 553035250 884856400 1106070500 1382588125 2212141000 2765176250 4424282000 5530352500 11060705000 22121410000