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2300235040 = 25519772977
BaseRepresentation
bin1000100100011010…
…1100110100100000
312221022022001021101
42021012230310200
514202330010130
61020130004144
7111000450415
oct21106546440
95838261241
102300235040
11a804716a4
12542416654
132a872812c
1417b6d010c
15d6e1b1ca
hex891acd20

2300235040 has 48 divisors (see below), whose sum is σ = 5461965432. Its totient is φ = 915410944.

The previous prime is 2300235029. The next prime is 2300235053. The reversal of 2300235040 is 405320032.

It can be written as a sum of positive squares in 4 ways, for example, as 2040509584 + 259725456 = 45172^2 + 16116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2300234999 and 2300235017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4969 + ... + 68008.

Almost surely, 22300235040 is an apocalyptic number.

2300235040 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 2300235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730982716).

2300235040 is an abundant number, since it is smaller than the sum of its proper divisors (3161730392).

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

2300235040 is a wasteful number, since it uses less digits than its factorization.

2300235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73189 (or 73181 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 2300235040 is about 47960.7656319204. The cubic root of 2300235040 is about 1320.0510846468.

Adding to 2300235040 its reverse (405320032), we get a palindrome (2705555072).

The spelling of 2300235040 in words is "two billion, three hundred million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 197 394 788 985 1576 1970 3152 3940 6304 7880 15760 31520 72977 145954 291908 364885 583816 729770 1167632 1459540 2335264 2919080 5838160 11676320 14376469 28752938 57505876 71882345 115011752 143764690 230023504 287529380 460047008 575058760 1150117520 2300235040