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22420200 = 23352114379
BaseRepresentation
bin101010110000…
…1101011101000
31120012001201210
41111201223220
521214421300
62120313120
7361366005
oct125415350
946161653
1022420200
11117236a0
1276127a0
13484cbba
142d988ac
151e7d050
hex1561ae8

22420200 has 192 divisors, whose sum is σ = 78566400. Its totient is φ = 5241600.

The previous prime is 22420183. The next prime is 22420201. The reversal of 22420200 is 202422.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (22420201) 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, 283761 + ... + 283839.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 222420200 is an apocalyptic number.

22420200 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 22420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

22420200 is an abundant number, since it is smaller than the sum of its proper divisors (56146200).

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

22420200 is a wasteful number, since it uses less digits than its factorization.

22420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22420200 is about 4734.9973600837. The cubic root of 22420200 is about 281.9766592019.

Adding to 22420200 its reverse (202422), we get a palindrome (22622622).

The spelling of 22420200 in words is "twenty-two million, four hundred twenty thousand, two hundred".