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2314755440 = 2453073
BaseRepresentation
bin1000100111111000…
…0101110101110000
312222022121202111222
42021332011311300
514220034133230
61021405124212
7111235045064
oct21176056560
95868552458
102314755440
11a8868a028
12547259668
132ab74039a
1417d5cdaa4
15d83386e5
hex89f85d70

2314755440 has 40 divisors (see below), whose sum is σ = 5399394000. Its totient is φ = 922886208.

The previous prime is 2314755439. The next prime is 2314755449. The reversal of 2314755440 is 445574132.

2314755440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2314755440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314755449) 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, 7539767 + ... + 7540073.

It is an arithmetic number, because the mean of its divisors is an integer number (134984850).

Almost surely, 22314755440 is an apocalyptic number.

2314755440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314755440 is an abundant number, since it is smaller than the sum of its proper divisors (3084638560).

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

2314755440 is an frugal number, since it uses more digits than its factorization.

2314755440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 2314755440 is about 48111.9053873363. The cubic root of 2314755440 is about 1322.8228996796.

It can be divided in two parts, 23147 and 55440, that added together give a palindrome (78587).

The spelling of 2314755440 in words is "two billion, three hundred fourteen million, seven hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 307 614 1228 1535 2456 3070 4912 6140 12280 24560 94249 188498 376996 471245 753992 942490 1507984 1884980 3769960 7539920 28934443 57868886 115737772 144672215 231475544 289344430 462951088 578688860 1157377720 2314755440