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22002202022220 = 223257401307914143
BaseRepresentation
bin1010000000010110010010…
…11011111001000101001100
32212220101112021210200020100
411000023021123321011030
510340441002204202340
6114443401100051100
74430415035300550
oct500131133710514
985811467720210
1022002202022220
1170130994997a2
122574210b33a90
13c37a4cb07024
14560cab353860
152824db32e830
hex1402c96f914c

22002202022220 has 288 divisors, whose sum is σ = 76494753054720. Its totient is φ = 5014549555200.

The previous prime is 22002202022189. The next prime is 22002202022239. The reversal of 22002202022220 is 2222020220022.

22002202022220 is a `hidden beast` number, since 2 + 20 + 0 + 220 + 202 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22002202022193 and 22002202022202.

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 95 ways as a sum of consecutive naturals, for example, 1555688469 + ... + 1555702611.

It is an arithmetic number, because the mean of its divisors is an integer number (265606781440).

Almost surely, 222002202022220 is an apocalyptic number.

22002202022220 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 22002202022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38247376527360).

22002202022220 is an abundant number, since it is smaller than the sum of its proper divisors (54492551032500).

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

22002202022220 is a wasteful number, since it uses less digits than its factorization.

22002202022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22002202022220 its reverse (2222020220022), we get a palindrome (24224222242242).

The spelling of 22002202022220 in words is "twenty-two trillion, two billion, two hundred two million, twenty-two thousand, two hundred twenty".