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2523220 = 225767269
BaseRepresentation
bin1001101000000001010100
311202012012121
421220001110
51121220340
6130025324
730306220
oct11500124
94665177
102523220
111473807
12a18244
136a463b
14499780
1534c94a
hex268054

2523220 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 849024.

The previous prime is 2523217. The next prime is 2523223. The reversal of 2523220 is 223252.

It is an interprime number because it is at equal distance from previous prime (2523217) and next prime (2523223).

It is a junction number, because it is equal to n+sod(n) for n = 2523194 and 2523203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523223) 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, 9246 + ... + 9514.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22523220 is an apocalyptic number.

2523220 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 2523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2523220 is an abundant number, since it is smaller than the sum of its proper divisors (3645740).

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

2523220 is a wasteful number, since it uses less digits than its factorization.

2523220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2523220 is about 1588.4646675328. The cubic root of 2523220 is about 136.1397784343.

Adding to 2523220 its reverse (223252), we get a palindrome (2746472).

Subtracting from 2523220 its reverse (223252), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 25232 and 20, that added together give a palindrome (25252).

The spelling of 2523220 in words is "two million, five hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 269 335 469 538 670 938 1076 1340 1345 1876 1883 2345 2690 3766 4690 5380 7532 9380 9415 18023 18830 36046 37660 72092 90115 126161 180230 252322 360460 504644 630805 1261610 2523220