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2319048920 = 2355310311061
BaseRepresentation
bin1000101000111001…
…1110000011011000
312222121200220001202
42022032132003120
514222134031140
61022041133332
7111316406366
oct21216360330
95877626052
102319048920
11a90051861
1254878a248
132ac5b46c6
1417ddca636
15d88d5915
hex8a39e0d8

2319048920 has 64 divisors (see below), whose sum is σ = 5326482240. Its totient is φ = 908377600.

The previous prime is 2319048917. The next prime is 2319048943. The reversal of 2319048920 is 298409132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185190 + ... + 2186250.

It is an arithmetic number, because the mean of its divisors is an integer number (83226285).

Almost surely, 22319048920 is an apocalyptic number.

2319048920 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 2319048920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663241120).

2319048920 is an abundant number, since it is smaller than the sum of its proper divisors (3007433320).

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

2319048920 is a wasteful number, since it uses less digits than its factorization.

2319048920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2319048920 is about 48156.5044412486. The cubic root of 2319048920 is about 1323.6402654751.

The spelling of 2319048920 in words is "two billion, three hundred nineteen million, forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1031 1060 1061 2062 2120 2122 4124 4244 5155 5305 8248 8488 10310 10610 20620 21220 41240 42440 54643 56233 109286 112466 218572 224932 273215 281165 437144 449864 546430 562330 1092860 1093891 1124660 2185720 2187782 2249320 4375564 5469455 8751128 10938910 21877820 43755640 57976223 115952446 231904892 289881115 463809784 579762230 1159524460 2319048920