Search a number
-
+
215902848 = 2737312591
BaseRepresentation
bin11001101111001…
…10101010000000
3120001021000000210
430313212222000
5420232342343
633231314120
75231100240
oct1467465200
9501230023
10215902848
11100965007
126037b940
1335964885
1420961b20
1513e4b333
hexcde6a80

215902848 has 128 divisors (see below), whose sum is σ = 676823040. Its totient is φ = 59673600.

The previous prime is 215902847. The next prime is 215902859. The reversal of 215902848 is 848209512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2159028482 = 93228079549022208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215902847) by changing a digit.

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, 82033 + ... + 84623.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2215902848 is an apocalyptic number.

215902848 is a gapful number since it is divisible by the number (28) 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 215902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338411520).

215902848 is an abundant number, since it is smaller than the sum of its proper divisors (460920192).

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

215902848 is a wasteful number, since it uses less digits than its factorization.

215902848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 215902848 is about 14693.6329068069. The cubic root of 215902848 is about 599.9100309544.

The spelling of 215902848 in words is "two hundred fifteen million, nine hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2591 2604 2688 2976 3472 3968 5182 5208 5952 6944 7773 10364 10416 11904 13888 15546 18137 20728 20832 27776 31092 36274 41456 41664 54411 62184 72548 80321 82912 83328 108822 124368 145096 160642 165824 217644 240963 248736 290192 321284 331648 435288 481926 497472 562247 580384 642568 870576 963852 994944 1124494 1160768 1285136 1686741 1741152 1927704 2248988 2321536 2570272 3373482 3482304 3855408 4497976 5140544 6746964 6964608 7710816 8995952 10281088 13493928 15421632 17991904 26987856 30843264 35983808 53975712 71967616 107951424 215902848