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22201202012220 = 223257114347978171
BaseRepresentation
bin1010000110001000111101…
…10000100111000000111100
32220121102011221101120220100
411003010132300213000330
510402221030203342340
6115115031424321100
74450661324302530
oct503043660470074
986542157346810
1022201202012220
11708a52782a650
1225a68a9773190
13c50744bb45ba
1456a7886c3bc0
15287786abe830
hex14311ec2703c

22201202012220 has 1152 divisors, whose sum is σ = 88656835018752. Its totient is φ = 4364081971200.

The previous prime is 22201202012203. The next prime is 22201202012237. The reversal of 22201202012220 is 2221020210222.

22201202012220 is a `hidden beast` number, since 2 + 220 + 1 + 20 + 201 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22201202012203) and next prime (22201202012237).

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

It is a junction number, because it is equal to n+sod(n) for n = 22201202012193 and 22201202012202.

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 383 ways as a sum of consecutive naturals, for example, 2717068735 + ... + 2717076905.

It is an arithmetic number, because the mean of its divisors is an integer number (76959058176).

Almost surely, 222201202012220 is an apocalyptic number.

22201202012220 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 22201202012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44328417509376).

22201202012220 is an abundant number, since it is smaller than the sum of its proper divisors (66455633006532).

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

22201202012220 is a wasteful number, since it uses less digits than its factorization.

22201202012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8386 counting only the distinct ones).

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

Adding to 22201202012220 its reverse (2221020210222), we get a palindrome (24422222222442).

The spelling of 22201202012220 in words is "twenty-two trillion, two hundred one billion, two hundred two million, twelve thousand, two hundred twenty".