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2230480509 = 319293736469
BaseRepresentation
bin1000010011110010…
…0110111001111101
312202110001011001020
42010330212321331
514032000334014
61005154534353
7106162525425
oct20474467175
95673034036
102230480509
11a45059024
12522b973b9
1329714426a
14172333485
15d0c3d1a9
hex84f26e7d

2230480509 has 32 divisors (see below), whose sum is σ = 3326064000. Its totient is φ = 1323350784.

The previous prime is 2230480501. The next prime is 2230480513. The reversal of 2230480509 is 9050840322.

It is a happy number.

It is not a de Polignac number, because 2230480509 - 23 = 2230480501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2230480509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230480501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42927 + ... + 79395.

It is an arithmetic number, because the mean of its divisors is an integer number (103939500).

Almost surely, 22230480509 is an apocalyptic number.

2230480509 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2230480509 is a deficient number, since it is larger than the sum of its proper divisors (1095583491).

2230480509 is a wasteful number, since it uses less digits than its factorization.

2230480509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36557.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2230480509 is about 47227.9632103693. The cubic root of 2230480509 is about 1306.5703870632.

The spelling of 2230480509 in words is "two billion, two hundred thirty million, four hundred eighty thousand, five hundred nine".

Divisors: 1 3 19 29 37 57 87 111 551 703 1073 1653 2109 3219 20387 36469 61161 109407 692911 1057601 1349353 2078733 3172803 4048059 20094419 25637707 39131237 60283257 76913121 117393711 743493503 2230480509