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22221222100000 = 255571110128573
BaseRepresentation
bin1010000110101110010000…
…00011001011110000100000
32220200022212011201102101221
411003113020003023300200
510403033030324200000
6115132142152304424
74452300412242430
oct503271003136040
986608764642357
1022221222100000
117097a70629940
1225aa7563a2114
13c525b57a35a1
1456b7275182c0
152880594a761a
hex1435c80cbc20

22221222100000 has 576 divisors, whose sum is σ = 68851789703424. Its totient is φ = 6857280000000.

The previous prime is 22221222099983. The next prime is 22221222100031. The reversal of 22221222100000 is 122212222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777685714 + ... + 777714286.

It is an arithmetic number, because the mean of its divisors is an integer number (119534357124).

Almost surely, 222221222100000 is an apocalyptic number.

22221222100000 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 22221222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425894851712).

22221222100000 is an abundant number, since it is smaller than the sum of its proper divisors (46630567603424).

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

22221222100000 is a wasteful number, since it uses less digits than its factorization.

22221222100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28727 (or 28699 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22221222100000 its reverse (122212222), we get a palindrome (22221344312222).

The spelling of 22221222100000 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred thousand".