Search a number
-
+
2230814960 = 245112535017
BaseRepresentation
bin1000010011110111…
…1000100011110000
312202110200010211022
42010331320203300
514032042034320
61005210035012
7106165420463
oct20475704360
95673603738
102230814960
11a45267330
12523118a68
1329723056a
141723bd2da
15d0ca7325
hex84f788f0

2230814960 has 40 divisors (see below), whose sum is σ = 5658160176. Its totient is φ = 811205120.

The previous prime is 2230814941. The next prime is 2230814969. The reversal of 2230814960 is 694180322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×22308149603 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2230814960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230814969) 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, 1266629 + ... + 1268388.

Almost surely, 22230814960 is an apocalyptic number.

2230814960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230814960 is an abundant number, since it is smaller than the sum of its proper divisors (3427345216).

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

2230814960 is a wasteful number, since it uses less digits than its factorization.

2230814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535041 (or 2535035 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2230814960 is about 47231.5038930585. The cubic root of 2230814960 is about 1306.6356886774.

The spelling of 2230814960 in words is "two billion, two hundred thirty million, eight hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2535017 5070034 10140068 12675085 20280136 25350170 27885187 40560272 50700340 55770374 101400680 111540748 139425935 202801360 223081496 278851870 446162992 557703740 1115407480 2230814960