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22220120212220 = 225723101193354007
BaseRepresentation
bin1010000110101100001100…
…10111110100001011111100
32220200020000101022201112102
411003112012113310023330
510403023301233242340
6115131440551124232
74452231202324550
oct503260627641374
986606011281472
1022220120212220
117097555645287
1225aa4a9373678
13c5246b411598
1456b661047860
15287ee289c215
hex1435865f42fc

22220120212220 has 192 divisors, whose sum is σ = 56489209491456. Its totient is φ = 7177542451200.

The previous prime is 22220120212201. The next prime is 22220120212237. The reversal of 22220120212220 is 2221202102222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22220120212192 and 22220120212201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62590457 + ... + 62944463.

It is an arithmetic number, because the mean of its divisors is an integer number (294214632768).

Almost surely, 222220120212220 is an apocalyptic number.

22220120212220 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 22220120212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28244604745728).

22220120212220 is an abundant number, since it is smaller than the sum of its proper divisors (34269089279236).

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

22220120212220 is a wasteful number, since it uses less digits than its factorization.

22220120212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354340 (or 354338 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22220120212220 its reverse (2221202102222), we get a palindrome (24441322314442).

The spelling of 22220120212220 in words is "twenty-two trillion, two hundred twenty billion, one hundred twenty million, two hundred twelve thousand, two hundred twenty".