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22020100102200 = 23352371582362687
BaseRepresentation
bin1010000000110111101000…
…01111101001100000111000
32212222002201122012100021110
411000123310033221200320
510341234131111232300
6114455521102040320
74431620415413004
oct500336417514070
985862648170243
1022020100102200
11701a743499132
122577786b790a0
13c39642ba0bb5
14561ac840d704
15282bd77a4550
hex1406f43e9838

22020100102200 has 192 divisors, whose sum is σ = 70112786780160. Its totient is φ = 5712871057920.

The previous prime is 22020100102057. The next prime is 22020100102207. The reversal of 22020100102200 is 220100102022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020100102207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351239257 + ... + 351301943.

It is an arithmetic number, because the mean of its divisors is an integer number (365170764480).

Almost surely, 222020100102200 is an apocalyptic number.

22020100102200 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 22020100102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35056393390080).

22020100102200 is an abundant number, since it is smaller than the sum of its proper divisors (48092686677960).

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

22020100102200 is a wasteful number, since it uses less digits than its factorization.

22020100102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78566 (or 78557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22020100102200 its reverse (220100102022), we get a palindrome (22240200204222).

The spelling of 22020100102200 in words is "twenty-two trillion, twenty billion, one hundred million, one hundred two thousand, two hundred".