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102322220 = 2257111319269
BaseRepresentation
bin1100001100101…
…01000000101100
321010112111200212
412012111000230
5202143302340
614053041552
72351503340
oct606250054
9233474625
10102322220
1152838220
122a3262b8
13182777c0
14d837620
158eb2a65
hex619502c

102322220 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 27786240.

The previous prime is 102322219. The next prime is 102322223. The reversal of 102322220 is 22223201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102322195 and 102322204.

It is not an unprimeable number, because it can be changed into a prime (102322223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380246 + ... + 380514.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2102322220 is an apocalyptic number.

102322220 is a gapful number since it is divisible by the number (10) 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 102322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

102322220 is an abundant number, since it is smaller than the sum of its proper divisors (202496980).

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

102322220 is a wasteful number, since it uses less digits than its factorization.

102322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 102322220 is about 10115.4446269059. Note that the first 3 decimals coincide. The cubic root of 102322220 is about 467.7243549333.

Adding to 102322220 its reverse (22223201), we get a palindrome (124545421).

The spelling of 102322220 in words is "one hundred two million, three hundred twenty-two thousand, two hundred twenty".