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2017220 = 225172349
BaseRepresentation
bin111101100011111000100
310210111002212
413230133010
51004022340
6111122552
723101052
oct7543704
93714085
102017220
111158627
12813458
1355822a
143a71d2
1529ca65
hex1ec7c4

2017220 has 36 divisors (see below), whose sum is σ = 4512900. Its totient is φ = 757248.

The previous prime is 2017217. The next prime is 2017243. The reversal of 2017220 is 227102.

It can be written as a sum of positive squares in 6 ways, for example, as 232324 + 1784896 = 482^2 + 1336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2017195 and 2017204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5606 + ... + 5954.

22017220 is an apocalyptic number.

2017220 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 2017220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256450).

2017220 is an abundant number, since it is smaller than the sum of its proper divisors (2495680).

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

2017220 is a wasteful number, since it uses less digits than its factorization.

2017220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2017220 is about 1420.2887030460. The cubic root of 2017220 is about 126.3526694822.

The spelling of 2017220 in words is "two million, seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 349 578 698 1156 1396 1445 1745 2890 3490 5780 5933 6980 11866 23732 29665 59330 100861 118660 201722 403444 504305 1008610 2017220