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2302252120 = 235713760017
BaseRepresentation
bin1000100100111001…
…1001010001011000
312221110002112012001
42021032121101120
514203334031440
61020241130344
7111023551210
oct21116312130
95843075161
102302252120
11a8161a103
125430299b4
132a8c8327c
1417ba97240
15d71b8b9a
hex89399458

2302252120 has 64 divisors (see below), whose sum is σ = 5963388480. Its totient is φ = 783568896.

The previous prime is 2302252103. The next prime is 2302252151. The reversal of 2302252120 is 212522032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8352 + ... + 68368.

It is an arithmetic number, because the mean of its divisors is an integer number (93177945).

Almost surely, 22302252120 is an apocalyptic number.

2302252120 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 2302252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981694240).

2302252120 is an abundant number, since it is smaller than the sum of its proper divisors (3661136360).

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

2302252120 is a wasteful number, since it uses less digits than its factorization.

2302252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60172 (or 60168 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2302252120 is about 47981.7894622533. The cubic root of 2302252120 is about 1320.4368235939.

Adding to 2302252120 its reverse (212522032), we get a palindrome (2514774152).

The spelling of 2302252120 in words is "two billion, three hundred two million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 959 1096 1370 1918 2740 3836 4795 5480 7672 9590 19180 38360 60017 120034 240068 300085 420119 480136 600170 840238 1200340 1680476 2100595 2400680 3360952 4201190 8222329 8402380 16444658 16804760 32889316 41111645 57556303 65778632 82223290 115112606 164446580 230225212 287781515 328893160 460450424 575563030 1151126060 2302252120