Search a number
-
+
215072880 = 243511411987
BaseRepresentation
bin11001101000111…
…00000001110000
3112222200211112020
430310130001300
5420024313010
633201431440
75221042431
oct1464340160
9488624466
10215072880
11100448490
126003b580
1335733b79
14207c7488
1513d35470
hexcd1c070

215072880 has 160 divisors (see below), whose sum is σ = 745452288. Its totient is φ = 50841600.

The previous prime is 215072873. The next prime is 215072929. The reversal of 215072880 is 88270512.

It is a super-2 number, since 2×2150728802 = 92512687422988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107247 + ... + 109233.

Almost surely, 2215072880 is an apocalyptic number.

215072880 is a gapful number since it is divisible by the number (20) 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 215072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372726144).

215072880 is an abundant number, since it is smaller than the sum of its proper divisors (530379408).

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

215072880 is a wasteful number, since it uses less digits than its factorization.

215072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 215072880 is about 14665.3632754187. The cubic root of 215072880 is about 599.1403244070.

The spelling of 215072880 in words is "two hundred fifteen million, seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 1987 2255 2460 2640 2706 3280 3608 3974 4510 4920 5412 5961 6765 7216 7948 9020 9840 9935 10824 11922 13530 15896 18040 19870 21648 21857 23844 27060 29805 31792 36080 39740 43714 47688 54120 59610 65571 79480 81467 87428 95376 108240 109285 119220 131142 158960 162934 174856 218570 238440 244401 262284 325868 327855 349712 407335 437140 476880 488802 524568 651736 655710 814670 874280 896137 977604 1049136 1222005 1303472 1311420 1629340 1748560 1792274 1955208 2444010 2622840 2688411 3258680 3584548 3910416 4480685 4888020 5245680 5376822 6517360 7169096 8961370 9776040 10753644 13442055 14338192 17922740 19552080 21507288 26884110 35845480 43014576 53768220 71690960 107536440 215072880