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22012221022002 = 232177313113754907
BaseRepresentation
bin1010000000101000111101…
…00111010101111100110010
32212221100101112022121011100
411000110132213111330302
510341122012040201002
6114452135202025230
74431221233344501
oct500243647257462
985840345277140
1022012221022002
11701736aa00602
122576148348216
13c38988717573
1456157bc20838
152828c5be211c
hex14051e9d5f32

22012221022002 has 192 divisors, whose sum is σ = 51958604041344. Its totient is φ = 6709741608960.

The previous prime is 22012221021983. The next prime is 22012221022007. The reversal of 22012221022002 is 20022012221022.

22012221022002 is a `hidden beast` number, since 220 + 1 + 2 + 221 + 0 + 220 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22012221022007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400872633 + ... + 400927539.

It is an arithmetic number, because the mean of its divisors is an integer number (270617729382).

Almost surely, 222012221022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012221022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25979302020672).

22012221022002 is an abundant number, since it is smaller than the sum of its proper divisors (29946383019342).

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

22012221022002 is a wasteful number, since it uses less digits than its factorization.

22012221022002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55273 (or 55270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012221022002 its reverse (20022012221022), we get a palindrome (42034233243024).

The spelling of 22012221022002 in words is "twenty-two trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, two".