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2302116 = 2231923439
BaseRepresentation
bin1000110010000010100100
311022221220120
420302002210
51042131431
6121201540
725365465
oct10620244
94287816
102302116
111332683
129302b0
13627acb
1443cd6c
15307196
hex2320a4

2302116 has 48 divisors (see below), whose sum is σ = 5913600. Its totient is φ = 693792.

The previous prime is 2302099. The next prime is 2302117. The reversal of 2302116 is 6112032.

It is a junction number, because it is equal to n+sod(n) for n = 2302095 and 2302104.

It is not an unprimeable number, because it can be changed into a prime (2302117) 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, 5025 + ... + 5463.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

22302116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956800).

2302116 is an abundant number, since it is smaller than the sum of its proper divisors (3611484).

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

2302116 is a wasteful number, since it uses less digits than its factorization.

2302116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2302116 is about 1517.2725529713. The cubic root of 2302116 is about 132.0410799597.

Adding to 2302116 its reverse (6112032), we get a palindrome (8414148).

It can be divided in two parts, 230 and 2116, that added together give a triangular number (2346 = T68).

The spelling of 2302116 in words is "two million, three hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 439 874 878 1311 1317 1748 1756 2622 2634 5244 5268 8341 10097 16682 20194 25023 30291 33364 40388 50046 60582 100092 121164 191843 383686 575529 767372 1151058 2302116