Search a number
-
+
2309020224 = 26373759787
BaseRepresentation
bin1000100110100000…
…1101101001000000
312221220211101021120
42021220031221000
514212102121344
61021042152240
7111135230250
oct21150155100
95856741246
102309020224
11a85422085
12545352680
132aa4b2a74
1417c939960
15d7aa4219
hex89a0da40

2309020224 has 224 divisors, whose sum is σ = 7301544960. Its totient is φ = 630208512.

The previous prime is 2309020211. The next prime is 2309020237. The reversal of 2309020224 is 4220209032.

It is an interprime number because it is at equal distance from previous prime (2309020211) and next prime (2309020237).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2309020194 and 2309020203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2933559 + ... + 2934345.

Almost surely, 22309020224 is an apocalyptic number.

2309020224 is a gapful number since it is divisible by the number (24) 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 2309020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650772480).

2309020224 is an abundant number, since it is smaller than the sum of its proper divisors (4992524736).

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

2309020224 is a wasteful number, since it uses less digits than its factorization.

2309020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2309020224 is about 48052.2655449251. The cubic root of 2309020224 is about 1321.7294869092.

Adding to 2309020224 its reverse (4220209032), we get a palindrome (6529229256).

The spelling of 2309020224 in words is "two billion, three hundred nine million, twenty thousand, two hundred twenty-four".