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2145220 = 2257211199
BaseRepresentation
bin1000001011101111000100
311000222200121
420023233010
51022121340
6113551324
724143200
oct10135704
94028617
102145220
111235810
12875544
135a157c
143dbb00
152c594a
hex20bbc4

2145220 has 72 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 665280.

The previous prime is 2145197. The next prime is 2145239. The reversal of 2145220 is 225412.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2145194 and 2145203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10681 + ... + 10879.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

22145220 is an apocalyptic number.

2145220 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 2145220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2145220 is an abundant number, since it is smaller than the sum of its proper divisors (3600380).

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

2145220 is a wasteful number, since it uses less digits than its factorization.

2145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2145220 is about 1464.6569564236. The cubic root of 2145220 is about 128.9705679705.

The spelling of 2145220 in words is "two million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 199 220 245 308 385 398 490 539 770 796 980 995 1078 1393 1540 1990 2156 2189 2695 2786 3980 4378 5390 5572 6965 8756 9751 10780 10945 13930 15323 19502 21890 27860 30646 39004 43780 48755 61292 76615 97510 107261 153230 195020 214522 306460 429044 536305 1072610 2145220