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2223212122040 = 2357213265732839
BaseRepresentation
bin100000010110100001110…
…001001100111110111000
321212112111110211111210012
4200112201301030332320
5242411114300401130
64421155103241052
7316423161144200
oct40264161147670
97775443744705
102223212122040
1178794a313918
122baa592a9188
131318568823b0
14798656b9400
153cc6e1b2995
hex205a1c4cfb8

2223212122040 has 192 divisors, whose sum is σ = 6269075870400. Its totient is φ = 703323758592.

The previous prime is 2223212122013. The next prime is 2223212122051. The reversal of 2223212122040 is 402212123222.

It is a junction number, because it is equal to n+sod(n) for n = 2223212121997 and 2223212122015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67683941 + ... + 67716779.

It is an arithmetic number, because the mean of its divisors is an integer number (32651436825).

Almost surely, 22223212122040 is an apocalyptic number.

2223212122040 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 2223212122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134537935200).

2223212122040 is an abundant number, since it is smaller than the sum of its proper divisors (4045863748360).

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

2223212122040 is a wasteful number, since it uses less digits than its factorization.

2223212122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35534 (or 35523 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2223212122040 its reverse (402212123222), we get a palindrome (2625424245262).

The spelling of 2223212122040 in words is "two trillion, two hundred twenty-three billion, two hundred twelve million, one hundred twenty-two thousand, forty".