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2201620 = 225315367
BaseRepresentation
bin1000011001100000010100
311010212001111
420121200110
51030422440
6115104404
724466501
oct10314024
94125044
102201620
111274123
128a2104
135c1145
144144a8
152d74ea
hex219814

2201620 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 823680.

The previous prime is 2201603. The next prime is 2201623. The reversal of 2201620 is 261022.

2201620 = T85 + T86 + ... + T239.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2201620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201623) 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, 32827 + ... + 32893.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

22201620 is an apocalyptic number.

2201620 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 2201620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

2201620 is an abundant number, since it is smaller than the sum of its proper divisors (2733548).

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

2201620 is a wasteful number, since it uses less digits than its factorization.

2201620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2201620 is about 1483.7856988123. The cubic root of 2201620 is about 130.0910604608.

Adding to 2201620 its reverse (261022), we get a palindrome (2462642).

The spelling of 2201620 in words is "two million, two hundred one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 67 106 124 134 155 212 265 268 310 335 530 620 670 1060 1340 1643 2077 3286 3551 4154 6572 7102 8215 8308 10385 14204 16430 17755 20770 32860 35510 41540 71020 110081 220162 440324 550405 1100810 2201620