Search a number
-
+
2297189040 = 243519974793
BaseRepresentation
bin1000100011101100…
…0101001010110000
312221002120021221120
42020323011022300
514201040022130
61015540422240
7110632533066
oct21073051260
95832507846
102297189040
11a79781143
125413a7980
132a7bcc873
1417b13a036
15d6a18910
hex88ec52b0

2297189040 has 80 divisors (see below), whose sum is σ = 7126338528. Its totient is φ = 612149248.

The previous prime is 2297189033. The next prime is 2297189071. The reversal of 2297189040 is 409817922.

It is a Cunningham number, because it is equal to 479292-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22971890403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2297188983 and 2297189001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476884 + ... + 481676.

Almost surely, 22297189040 is an apocalyptic number.

2297189040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2297189040 is an abundant number, since it is smaller than the sum of its proper divisors (4829149488).

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

2297189040 is a wasteful number, since it uses less digits than its factorization.

2297189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2297189040 is about 47928.9999895679. Note that the first 4 decimals coincide. The cubic root of 2297189040 is about 1319.4681512114.

The spelling of 2297189040 in words is "two billion, two hundred ninety-seven million, one hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1997 3994 4793 5991 7988 9586 9985 11982 14379 15976 19172 19970 23964 23965 28758 29955 31952 38344 39940 47928 47930 57516 59910 71895 76688 79880 95856 95860 115032 119820 143790 159760 191720 230064 239640 287580 383440 479280 575160 1150320 9571621 19143242 28714863 38286484 47858105 57429726 76572968 95716210 114859452 143574315 153145936 191432420 229718904 287148630 382864840 459437808 574297260 765729680 1148594520 2297189040