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2202120 = 233352039
BaseRepresentation
bin1000011001101000001000
311010212202000
420121220020
51030431440
6115111000
724501114
oct10315010
94125660
102202120
111274538
128a2460
135c143b
14414744
152d7730
hex219a08

2202120 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 586944.

The previous prime is 2202077. The next prime is 2202121. The reversal of 2202120 is 212022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2202121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

22202120 is an apocalyptic number.

2202120 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 2202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2202120 is an abundant number, since it is smaller than the sum of its proper divisors (5141880).

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

2202120 is a wasteful number, since it uses less digits than its factorization.

2202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2202120 is about 1483.9541771901. The cubic root of 2202120 is about 130.1009078469.

Adding to 2202120 its reverse (212022), we get a palindrome (2414142).

The spelling of 2202120 in words is "two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2039 4078 6117 8156 10195 12234 16312 18351 20390 24468 30585 36702 40780 48936 55053 61170 73404 81560 91755 110106 122340 146808 183510 220212 244680 275265 367020 440424 550530 734040 1101060 2202120