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20223022212000 = 2532532039275503
BaseRepresentation
bin1001001100100100010100…
…00011100010001110100000
32122121022011012002201212200
410212102022003202032200
510122313222141241000
6111002154514053200
74155031225366326
oct446221203421640
978538135081780
1020223022212000
116497598909923
12232743527a200
13b3903b16b25a
144dcb29b6dd16
152510a9556500
hex12648a0e23a0

20223022212000 has 288 divisors, whose sum is σ = 71806965834240. Its totient is φ = 5390141529600.

The previous prime is 20223022211983. The next prime is 20223022212047. The reversal of 20223022212000 is 21222032202.

20223022212000 is a `hidden beast` number, since 20 + 223 + 0 + 2 + 221 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73266249 + ... + 73541751.

It is an arithmetic number, because the mean of its divisors is an integer number (249329742480).

Almost surely, 220223022212000 is an apocalyptic number.

20223022212000 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 20223022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35903482917120).

20223022212000 is an abundant number, since it is smaller than the sum of its proper divisors (51583943622240).

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

20223022212000 is a wasteful number, since it uses less digits than its factorization.

20223022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277573 (or 277552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20223022212000 its reverse (21222032202), we get a palindrome (20244244244202).

The spelling of 20223022212000 in words is "twenty trillion, two hundred twenty-three billion, twenty-two million, two hundred twelve thousand".