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221022322120000 = 26545525558053
BaseRepresentation
bin110010010000010011000100…
…111111110101010101000000
31001222120112020122112011202101
4302100103010333311111000
5212432212203430320000
62102024130354400144
764361223120102502
oct6220230477652500
91058515218464671
10221022322120000
1164474049884435
1220957734590054
13964341433457b
143c81774b59d72
151a844701e7e6a
hexc904c4ff5540

221022322120000 has 70 divisors (see below), whose sum is σ = 548063526702098. Its totient is φ = 88408928832000.

The previous prime is 221022322119997. The next prime is 221022322120009. The reversal of 221022322120000 is 21223220122.

It can be written as a sum of positive squares in 5 ways, for example, as 75257845816384 + 145764476303616 = 8675128^2 + 12073296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221022322120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022322120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2762739027 + ... + 2762819026.

Almost surely, 2221022322120000 is an apocalyptic number.

221022322120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022322120000 is an abundant number, since it is smaller than the sum of its proper divisors (327041204582098).

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

221022322120000 is an frugal number, since it uses more digits than its factorization.

221022322120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525558085 (or 5525558060 counting only the distinct ones).

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

Adding to 221022322120000 its reverse (21223220122), we get a palindrome (221043545340122).

The spelling of 221022322120000 in words is "two hundred twenty-one trillion, twenty-two billion, three hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5525558053 11051116106 22102232212 27627790265 44204464424 55255580530 88408928848 110511161060 138138951325 176817857696 221022322120 276277902650 353635715392 442044644240 552555805300 690694756625 884089288480 1105111610600 1381389513250 1768178576960 2210223221200 2762779026500 3453473783125 4420446442400 5525558053000 6906947566250 8840892884800 11051116106000 13813895132500 22102232212000 27627790265000 44204464424000 55255580530000 110511161060000 221022322120000