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2300551220 = 2251123725693
BaseRepresentation
bin1000100100011111…
…1010000000110100
312221022220002222202
42021013322000310
514202420114340
61020140444032
7111003235262
oct21107720064
95838802882
102300551220
11a80668200
12542549618
132a8809016
1417b773432
15d6e7ec15
hex891fa034

2300551220 has 72 divisors (see below), whose sum is σ = 5454013992. Its totient is φ = 813922560.

The previous prime is 2300551219. The next prime is 2300551229. The reversal of 2300551220 is 221550032.

It can be written as a sum of positive squares in 4 ways, for example, as 1121178256 + 1179372964 = 33484^2 + 34342^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2300551192 and 2300551201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300551229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76694 + ... + 102386.

Almost surely, 22300551220 is an apocalyptic number.

2300551220 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 2300551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727006996).

2300551220 is an abundant number, since it is smaller than the sum of its proper divisors (3153462772).

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

2300551220 is a wasteful number, since it uses less digits than its factorization.

2300551220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761 (or 25748 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2300551220 is about 47964.0617546096. The cubic root of 2300551220 is about 1320.1115646445. Note that the first 3 decimals are identical.

The spelling of 2300551220 in words is "two billion, three hundred million, five hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 17908 22385 25693 44770 51386 89540 102772 128465 256930 282623 513860 565246 950641 1130492 1413115 1901282 2826230 3108853 3802564 4753205 5652460 6217706 9506410 10457051 12435412 15544265 19012820 20914102 31088530 41828204 52285255 62177060 104570510 115027561 209141020 230055122 460110244 575137805 1150275610 2300551220