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22380120 = 23325783107
BaseRepresentation
bin101010101011…
…1111001011000
31120010000202100
41111113321120
521212130440
62115403400
7361141110
oct125277130
946100670
1022380120
11116a6574
1275b3560
134837899
142d88040
151e71230
hex1557e58

22380120 has 192 divisors, whose sum is σ = 84913920. Its totient is φ = 5006592.

The previous prime is 22380103. The next prime is 22380133. The reversal of 22380120 is 2108322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22380093 and 22380102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209107 + ... + 209213.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 222380120 is an apocalyptic number.

22380120 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 22380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

22380120 is an abundant number, since it is smaller than the sum of its proper divisors (62533800).

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

22380120 is a wasteful number, since it uses less digits than its factorization.

22380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22380120 is about 4730.7631519661. The cubic root of 22380120 is about 281.8085315650.

Adding to 22380120 its reverse (2108322), we get a palindrome (24488442).

It can be divided in two parts, 22380 and 120, that added together give a square (22500 = 1502).

The spelling of 22380120 in words is "twenty-two million, three hundred eighty thousand, one hundred twenty".