Search a number
-
+
2213673840 = 243357146407
BaseRepresentation
bin1000001111110001…
…1111101101110000
312201021102021122000
42003330133231300
514013200030330
61003354414000
7105566626410
oct20374375560
95637367560
102213673840
11a36619a14
12519431300
1329380b4a1
1416ddda640
15ce51d560
hex83f1fb70

2213673840 has 160 divisors (see below), whose sum is σ = 8714204160. Its totient is φ = 505979136.

The previous prime is 2213673817. The next prime is 2213673857. The reversal of 2213673840 is 483763122.

It is a happy number.

2213673840 is a `hidden beast` number, since 2 + 213 + 67 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2213673795 and 2213673804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58084 + ... + 88323.

It is an arithmetic number, because the mean of its divisors is an integer number (54463776).

Almost surely, 22213673840 is an apocalyptic number.

2213673840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213673840 is an abundant number, since it is smaller than the sum of its proper divisors (6500530320).

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

2213673840 is a wasteful number, since it uses less digits than its factorization.

2213673840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146436 (or 146424 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2213673840 is about 47049.6954294074. The cubic root of 2213673840 is about 1303.2804409578.

The spelling of 2213673840 in words is "two billion, two hundred thirteen million, six hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 146407 292814 439221 585628 732035 878442 1024849 1171256 1317663 1464070 1756884 2049698 2196105 2342512 2635326 2928140 3074547 3513768 3952989 4099396 4392210 5124245 5270652 5856280 6149094 6588315 7027536 7905978 8198792 8784420 9223641 10248490 10541304 11712560 12298188 13176630 15372735 15811956 16397584 17568840 18447282 19764945 20496980 21082608 24596376 26353260 27670923 30745470 31623912 35137680 36894564 39529890 40993960 46118205 49192752 52706520 55341846 61490940 63247824 73789128 79059780 81987920 92236410 105413040 110683692 122981880 138354615 147578256 158119560 184472820 221367384 245963760 276709230 316239120 368945640 442734768 553418460 737891280 1106836920 2213673840