Search a number
-
+
2114859246 = 232331237431
BaseRepresentation
bin111111000001110…
…0011000011101110
312110101110222111020
41332003203003232
513312400443441
6545504435010
7103260002253
oct17603430356
95411428436
102114859246
11995868065
124b0318a66
132791c1406
14160c3742a
15c59eee66
hex7e0e30ee

2114859246 has 96 divisors (see below), whose sum is σ = 4694713344. Its totient is φ = 633441600.

The previous prime is 2114859181. The next prime is 2114859247. The reversal of 2114859246 is 6429584112.

It is a junction number, because it is equal to n+sod(n) for n = 2114859198 and 2114859207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114859247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4906651 + ... + 4907081.

It is an arithmetic number, because the mean of its divisors is an integer number (48903264).

Almost surely, 22114859246 is an apocalyptic number.

2114859246 is an abundant number, since it is smaller than the sum of its proper divisors (2579854098).

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

2114859246 is a wasteful number, since it uses less digits than its factorization.

2114859246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 527 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2114859246 is about 45987.5988283798. The cubic root of 2114859246 is about 1283.5924563770.

The spelling of 2114859246 in words is "two billion, one hundred fourteen million, eight hundred fifty-nine thousand, two hundred forty-six".

Divisors: 1 2 3 6 23 31 37 46 62 69 74 93 111 138 186 222 431 713 851 862 961 1147 1293 1426 1702 1922 2139 2294 2553 2586 2883 3441 4278 5106 5766 6882 9913 13361 15947 19826 22103 26381 26722 29739 31894 35557 40083 44206 47841 52762 59478 66309 71114 79143 80166 95682 106671 132618 158286 213342 307303 366781 414191 494357 614606 733562 817811 828382 921909 988714 1100343 1242573 1483071 1635622 1843818 2200686 2453433 2485146 2966142 4906866 9526393 11370211 15325067 19052786 22740422 28579179 30650134 34110633 45975201 57158358 68221266 91950402 352476541 704953082 1057429623 2114859246