Search a number
-
+
2303214220 = 2252931712527
BaseRepresentation
bin1000100101001000…
…0100001010001100
312221111220101221101
42021102010022030
514204110323340
61020313512444
7111034666156
oct21122041214
95844811841
102303214220
11a82116a2a
12543412724
132a922c168
1417bc67ad6
15d7308c9a
hex8948428c

2303214220 has 48 divisors (see below), whose sum is σ = 5019719040. Its totient is φ = 886640384.

The previous prime is 2303214217. The next prime is 2303214229. The reversal of 2303214220 is 224123032.

It is not an unprimeable number, because it can be changed into a prime (2303214229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177597 + ... + 190123.

It is an arithmetic number, because the mean of its divisors is an integer number (104577480).

Almost surely, 22303214220 is an apocalyptic number.

2303214220 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 2303214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509859520).

2303214220 is an abundant number, since it is smaller than the sum of its proper divisors (2716504820).

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

2303214220 is a wasteful number, since it uses less digits than its factorization.

2303214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2303214220 is about 47991.8140936556. The cubic root of 2303214220 is about 1320.6207326938.

Adding to 2303214220 its reverse (224123032), we get a palindrome (2527337252).

The spelling of 2303214220 in words is "two billion, three hundred three million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 317 580 634 1268 1585 3170 6340 9193 12527 18386 25054 36772 45965 50108 62635 91930 125270 183860 250540 363283 726566 1453132 1816415 3632830 3971059 7265660 7942118 15884236 19855295 39710590 79421180 115160711 230321422 460642844 575803555 1151607110 2303214220