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2345031220 = 225722419929
BaseRepresentation
bin1000101111000110…
…0101011000110100
320001102120221002011
42023301211120310
514300311444340
61024410054004
7112053302500
oct21361453064
96042527064
102345031220
11aa3788734
1255541a304
132b4ab0a4c
14183631300
15dad190ea
hex8bc65634

2345031220 has 72 divisors (see below), whose sum is σ = 5752925640. Its totient is φ = 800593920.

The previous prime is 2345031209. The next prime is 2345031229. The reversal of 2345031220 is 221305432.

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 2143504804 = 14196^2 + 46298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2345031191 and 2345031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2345031229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231216 + ... + 241144.

It is an arithmetic number, because the mean of its divisors is an integer number (79901745).

Almost surely, 22345031220 is an apocalyptic number.

2345031220 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 2345031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876462820).

2345031220 is an abundant number, since it is smaller than the sum of its proper divisors (3407894420).

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

2345031220 is a wasteful number, since it uses less digits than its factorization.

2345031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2345031220 is about 48425.5224029643. The cubic root of 2345031220 is about 1328.5652117267.

Adding to 2345031220 its reverse (221305432), we get a palindrome (2566336652).

The spelling of 2345031220 in words is "two billion, three hundred forty-five million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 241 245 482 490 964 980 1205 1687 2410 3374 4820 6748 8435 9929 11809 16870 19858 23618 33740 39716 47236 49645 59045 69503 99290 118090 139006 198580 236180 278012 347515 486521 695030 973042 1390060 1946084 2392889 2432605 4785778 4865210 9571556 9730420 11964445 16750223 23928890 33500446 47857780 67000892 83751115 117251561 167502230 234503122 335004460 469006244 586257805 1172515610 2345031220