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2300551040 = 2754917321
BaseRepresentation
bin1000100100011111…
…1001111110000000
312221022220002202002
42021013321332000
514202420113130
61020140443132
7111003234614
oct21107717600
95838802662
102300551040
11a80668057
125425494a8
132a8808c08
1417b773344
15d6e7eb45
hex891f9f80

2300551040 has 64 divisors (see below), whose sum is σ = 5511708720. Its totient is φ = 918220800.

The previous prime is 2300551007. The next prime is 2300551049. The reversal of 2300551040 is 401550032.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300551049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310580 + ... + 317900.

Almost surely, 22300551040 is an apocalyptic number.

2300551040 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 2300551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755854360).

2300551040 is an abundant number, since it is smaller than the sum of its proper divisors (3211157680).

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

2300551040 is an equidigital number, since it uses as much as digits as its factorization.

2300551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7819 counting only the distinct ones).

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

The square root of 2300551040 is about 47964.0598782046. The cubic root of 2300551040 is about 1320.1115302151. Note that the first 3 decimals are identical.

The spelling of 2300551040 in words is "two billion, three hundred million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 491 640 982 1964 2455 3928 4910 7321 7856 9820 14642 15712 19640 29284 31424 36605 39280 58568 62848 73210 78560 117136 146420 157120 234272 292840 314240 468544 585680 937088 1171360 2342720 3594611 4685440 7189222 14378444 17973055 28756888 35946110 57513776 71892220 115027552 143784440 230055104 287568880 460110208 575137760 1150275520 2300551040