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35220 = 2235587
BaseRepresentation
bin1000100110010100
31210022110
420212110
52111340
6431020
7204453
oct104624
953273
1035220
1124509
1218470
1313053
14cb9a
15a680
hex8994

35220 has 24 divisors (see below), whose sum is σ = 98784. Its totient is φ = 9376.

The previous prime is 35201. The next prime is 35221. The reversal of 35220 is 2253.

35220 = T25 + T26 + ... + T60.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as 37 + 56 + 210 + 214 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 35196 and 35205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35221) by changing a digit.

35220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

235220 is an apocalyptic number.

35220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35220 is an abundant number, since it is smaller than the sum of its proper divisors (63564).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392).

35220 is a wasteful number, since it uses less digits than its factorization.

35220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 35220 is about 187.6699230031. The cubic root of 35220 is about 32.7790566282.

Adding to 35220 its reverse (2253), we get a palindrome (37473).

The spelling of 35220 in words is "thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 587 1174 1761 2348 2935 3522 5870 7044 8805 11740 17610 35220