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2302420 = 225197383
BaseRepresentation
bin1000110010000111010100
311022222022211
420302013110
51042134140
6121203204
725366411
oct10620724
94288284
102302420
11133292a
12930504
13627ca3
1443d108
153072ea
hex2321d4

2302420 has 48 divisors (see below), whose sum is σ = 5221440. Its totient is φ = 850176.

The previous prime is 2302411. The next prime is 2302441. The reversal of 2302420 is 242032.

Adding to 2302420 its reverse (242032), we get a palindrome (2544452).

2302420 = T21 + T22 + ... + T239.

It is a super-2 number, since 2×23024202 = 10602275712800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2302420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27699 + ... + 27781.

It is an arithmetic number, because the mean of its divisors is an integer number (108780).

22302420 is an apocalyptic number.

2302420 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 2302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610720).

2302420 is an abundant number, since it is smaller than the sum of its proper divisors (2919020).

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

2302420 is a wasteful number, since it uses less digits than its factorization.

2302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2302420 is about 1517.3727294241. The cubic root of 2302420 is about 132.0468918189.

The spelling of 2302420 in words is "two million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 83 95 146 166 190 292 332 365 380 415 730 830 1387 1460 1577 1660 2774 3154 5548 6059 6308 6935 7885 12118 13870 15770 24236 27740 30295 31540 60590 115121 121180 230242 460484 575605 1151210 2302420