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22032212020000 = 255472131729373
BaseRepresentation
bin1010000001001110001100…
…01010111100101100100000
32220000020222201220111222121
411000213012022330230200
510341433432234120000
6114505243010314024
74432526516126500
oct500470612745440
986006881814877
1022032212020000
117024899341256
122579ba7288914
13c3a82328c970
14562516c41a00
15283195c80b1a
hex1409c62bcb20

22032212020000 has 360 divisors, whose sum is σ = 67902130359756. Its totient is φ = 6972827904000.

The previous prime is 22032212019989. The next prime is 22032212020019. The reversal of 22032212020000 is 2021223022.

It can be written as a sum of positive squares in 10 ways, for example, as 2064290791696 + 19967921228304 = 1436764^2 + 4468548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11875314 + ... + 13604686.

Almost surely, 222032212020000 is an apocalyptic number.

22032212020000 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 22032212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33951065179878).

22032212020000 is an abundant number, since it is smaller than the sum of its proper divisors (45869918339756).

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

22032212020000 is a wasteful number, since it uses less digits than its factorization.

22032212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729430 (or 1729400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22032212020000 its reverse (2021223022), we get a palindrome (22034233243022).

The spelling of 22032212020000 in words is "twenty-two trillion, thirty-two billion, two hundred twelve million, twenty thousand".