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2222002022000 = 245310971012763
BaseRepresentation
bin100000010101011001101…
…001000010011001110000
321212102101010211001121012
4200111121221002121300
5242401130004201000
64420435034450052
7316351165361555
oct40253151023160
97772333731535
102222002022000
11787389239842
122ba77bb93928
131316c2c62977
147978cabaa2c
153cbecd2e735
hex20559a42670

2222002022000 has 80 divisors (see below), whose sum is σ = 5377703920992. Its totient is φ = 887989721600.

The previous prime is 2222002021901. The next prime is 2222002022003. The reversal of 2222002022000 is 2202002222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222002022003) 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, 1687619 + ... + 2700381.

Almost surely, 22222002022000 is an apocalyptic number.

2222002022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688851960496).

2222002022000 is an abundant number, since it is smaller than the sum of its proper divisors (3155701898992).

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

2222002022000 is a wasteful number, since it uses less digits than its factorization.

2222002022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013883 (or 1013867 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2222002022000 its reverse (2202002222), we get a palindrome (2224204024222).

The spelling of 2222002022000 in words is "two trillion, two hundred twenty-two billion, two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1097 2000 2194 4388 5485 8776 10970 17552 21940 27425 43880 54850 87760 109700 137125 219400 274250 438800 548500 1012763 1097000 2025526 2194000 4051052 5063815 8102104 10127630 16204208 20255260 25319075 40510520 50638150 81021040 101276300 126595375 202552600 253190750 405105200 506381500 1012763000 1111001011 2025526000 2222002022 4444004044 5555005055 8888008088 11110010110 17776016176 22220020220 27775025275 44440040440 55550050550 88880080880 111100101100 138875126375 222200202200 277750252750 444400404400 555500505500 1111001011000 2222002022000