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2338022640 = 243561159701
BaseRepresentation
bin1000101101011011…
…0110010011110000
320000221101212010010
42023112312103300
514242013211030
61023555534520
7111636602352
oct21326662360
96027355103
102338022640
11a9a831018
12552bba440
132b34c8965
141827290d2
15da3d26b0
hex8b5b64f0

2338022640 has 80 divisors (see below), whose sum is σ = 7366733856. Its totient is φ = 613248000.

The previous prime is 2338022633. The next prime is 2338022669. The reversal of 2338022640 is 462208332.

2338022640 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 Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2338022598 and 2338022607.

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, 65211 + ... + 94490.

Almost surely, 22338022640 is an apocalyptic number.

2338022640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2338022640 is an abundant number, since it is smaller than the sum of its proper divisors (5028711216).

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

2338022640 is a wasteful number, since it uses less digits than its factorization.

2338022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159778 (or 159772 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2338022640 is about 48353.1037266482. The cubic root of 2338022640 is about 1327.2403328100.

The spelling of 2338022640 in words is "two billion, three hundred thirty-eight million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 159701 319402 479103 638804 798505 958206 1277608 1597010 1916412 2395515 2555216 3194020 3832824 4791030 6388040 7665648 9582060 9741761 12776080 19164120 19483522 29225283 38328240 38967044 48708805 58450566 77934088 97417610 116901132 146126415 155868176 194835220 233802264 292252830 389670440 467604528 584505660 779340880 1169011320 2338022640