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2314166640 = 243533129131
BaseRepresentation
bin1000100111101111…
…0110000101110000
312222021111211211120
42021323312011300
514214411313030
61021344342240
7111230043342
oct21173660560
95867454746
102314166640
11a88317715
12547014980
132ab595396
1417d4b9292
15d826e010
hex89ef6170

2314166640 has 80 divisors (see below), whose sum is σ = 7195837056. Its totient is φ = 615225600.

The previous prime is 2314166623. The next prime is 2314166651. The reversal of 2314166640 is 466614132.

2314166640 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 64875 + ... + 94005.

Almost surely, 22314166640 is an apocalyptic number.

2314166640 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 2314166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597918528).

2314166640 is an abundant number, since it is smaller than the sum of its proper divisors (4881670416).

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

2314166640 is a wasteful number, since it uses less digits than its factorization.

2314166640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29478 (or 29472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2314166640 is about 48105.7859305926. The cubic root of 2314166640 is about 1322.7107288415.

The spelling of 2314166640 in words is "two billion, three hundred fourteen million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 13240 15888 19860 26480 29131 39720 58262 79440 87393 116524 145655 174786 233048 291310 349572 436965 466096 582620 699144 873930 1165240 1398288 1747860 2330480 3495720 6991440 9642361 19284722 28927083 38569444 48211805 57854166 77138888 96423610 115708332 144635415 154277776 192847220 231416664 289270830 385694440 462833328 578541660 771388880 1157083320 2314166640