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2220022111200 = 253523731379873
BaseRepresentation
bin100000010011100011101…
…000010001101111100000
321212020021011021011120120
4200103203220101233200
5242333101130024300
64415510350240240
7316251134410065
oct40234350215740
97766234234516
102220022111200
11786562673523
122ba308ab6080
13131468a0050a
1479641b70c6c
153cb340d93a0
hex204e3a11be0

2220022111200 has 288 divisors, whose sum is σ = 7445277909216. Its totient is φ = 574158274560.

The previous prime is 2220022111187. The next prime is 2220022111217. The reversal of 2220022111200 is 21112200222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220022111200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27754464 + ... + 27834336.

It is an arithmetic number, because the mean of its divisors is an integer number (25851659407).

Almost surely, 22220022111200 is an apocalyptic number.

2220022111200 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 2220022111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722638954608).

2220022111200 is an abundant number, since it is smaller than the sum of its proper divisors (5225255798016).

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

2220022111200 is a wasteful number, since it uses less digits than its factorization.

2220022111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80246 (or 80233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220022111200 its reverse (21112200222), we get a palindrome (2241134311422).

The spelling of 2220022111200 in words is "two trillion, two hundred twenty billion, twenty-two million, one hundred eleven thousand, two hundred".