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22122212311332 = 223372337239143873
BaseRepresentation
bin1010000011110101110101…
…00110110100000100100100
32220022212022000100000202000
411001322322212310010210
510344422242322430312
6115014445401045300
74442164021025430
oct501727246640444
986285260300660
1022122212311332
117059a83141211
122593524186830
13c46167184713
14566a13bb79c0
152856b2168adc
hex141eba9b4124

22122212311332 has 384 divisors, whose sum is σ = 70540156108800. Its totient is φ = 5857768046592.

The previous prime is 22122212311327. The next prime is 22122212311351. The reversal of 22122212311332 is 23311321222122.

22122212311332 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 2 + 12 + 311 + 332 = 666.

It is a super-2 number, since 2×221222123113322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22122212311296 and 22122212311305.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153690148 + ... + 153834020.

It is an arithmetic number, because the mean of its divisors is an integer number (183698323200).

Almost surely, 222122212311332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122212311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35270078054400).

22122212311332 is an abundant number, since it is smaller than the sum of its proper divisors (48417943797468).

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

22122212311332 is a wasteful number, since it uses less digits than its factorization.

22122212311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144192 (or 144184 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 22122212311332 its reverse (23311321222122), we get a palindrome (45433533533454).

The spelling of 22122212311332 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twelve million, three hundred eleven thousand, three hundred thirty-two".