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2182020 = 223541887
BaseRepresentation
bin1000010100101110000100
311002212011120
420110232010
51024311040
6114433540
724355401
oct10245604
94085146
102182020
111260425
128928b0
135b5249
1440b2a8
152d17d0
hex214b84

2182020 has 48 divisors (see below), whose sum is σ = 6265728. Its totient is φ = 567040.

The previous prime is 2182009. The next prime is 2182021. The reversal of 2182020 is 202812.

It is a super-2 number, since 2×21820202 = 9522422560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (130536).

22182020 is an apocalyptic number.

2182020 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 2182020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132864).

2182020 is an abundant number, since it is smaller than the sum of its proper divisors (4083708).

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

2182020 is a wasteful number, since it uses less digits than its factorization.

2182020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2182020 is about 1477.1662059498. The cubic root of 2182020 is about 129.7038624054.

Adding to 2182020 its reverse (202812), we get a palindrome (2384832).

The spelling of 2182020 in words is "two million, one hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 887 1230 1774 2460 2661 3548 4435 5322 8870 10644 13305 17740 26610 36367 53220 72734 109101 145468 181835 218202 363670 436404 545505 727340 1091010 2182020