Search a number
-
+
2303353140 = 22351117320173
BaseRepresentation
bin1000100101001010…
…0110000100110100
312221112011110111120
42021102212010310
514204124300030
61020320503540
7111036115164
oct21122460464
95845143446
102303353140
11a82201340
1254347abb0
132a927a46a
1417bca25a4
15d7335010
hex894a6134

2303353140 has 96 divisors (see below), whose sum is σ = 7076716416. Its totient is φ = 555133440.

The previous prime is 2303353133. The next prime is 2303353181. The reversal of 2303353140 is 413533032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2303353140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104094 + ... + 124266.

It is an arithmetic number, because the mean of its divisors is an integer number (73715796).

Almost surely, 22303353140 is an apocalyptic number.

2303353140 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 2303353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538358208).

2303353140 is an abundant number, since it is smaller than the sum of its proper divisors (4773363276).

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

2303353140 is a wasteful number, since it uses less digits than its factorization.

2303353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2303353140 is about 47993.2614019927. The cubic root of 2303353140 is about 1320.6472835522.

Adding to 2303353140 its reverse (413533032), we get a palindrome (2716886172).

The spelling of 2303353140 in words is "two billion, three hundred three million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 20173 22836 28545 38060 40346 57090 60519 80692 100865 114180 121038 201730 221903 242076 302595 403460 443806 605190 665709 887612 1109515 1210380 1331418 2219030 2662836 3328545 3489929 4438060 6657090 6979858 10469787 13314180 13959716 17449645 20939574 34899290 38389219 41879148 52348935 69798580 76778438 104697870 115167657 153556876 191946095 209395740 230335314 383892190 460670628 575838285 767784380 1151676570 2303353140