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221022002000 = 2453313564871
BaseRepresentation
bin1100110111010111110…
…0000001101101010000
3210010111101220000221002
43031311330001231100
512110123113031000
6245311444321132
721653063006402
oct3156574015520
9703441800832
10221022002000
118580a181478
1236a039a31a8
1317ac4668707
14a9aa000b72
155b38cba8d5
hex3375f01b50

221022002000 has 80 divisors (see below), whose sum is σ = 551671071744. Its totient is φ = 85556880000.

The previous prime is 221022001997. The next prime is 221022002011. The reversal of 221022002000 is 200220122.

221022002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720436 + ... + 1844435.

Almost surely, 2221022002000 is an apocalyptic number.

221022002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022002000 is an abundant number, since it is smaller than the sum of its proper divisors (330649069744).

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

221022002000 is a wasteful number, since it uses less digits than its factorization.

221022002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564925 (or 3564909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 221022002000 its reverse (200220122), we get a palindrome (221222222122).

The spelling of 221022002000 in words is "two hundred twenty-one billion, twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 3564871 7129742 14259484 17824355 28518968 35648710 57037936 71297420 89121775 110511001 142594840 178243550 221022002 285189680 356487100 442044004 445608875 552555005 712974200 884088008 891217750 1105110010 1425948400 1768176016 1782435500 2210220020 2762775025 3564871000 4420440040 5525550050 7129742000 8840880080 11051100100 13813875125 22102200200 27627750250 44204400400 55255500500 110511001000 221022002000