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215555080 = 235132367269
BaseRepresentation
bin11001101100100…
…01110000001000
3120000121022222111
430312101300020
5420140230310
633220032104
75225121316
oct1466216010
9500538874
10215555080
111007477a4
1260232634
13358724b0
14208b10b6
1513dcd28a
hexcd91c08

215555080 has 128 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 74714112.

The previous prime is 215555051. The next prime is 215555111. The reversal of 215555080 is 80555512.

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, 801186 + ... + 801454.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2215555080 is an apocalyptic number.

215555080 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 215555080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

215555080 is an abundant number, since it is smaller than the sum of its proper divisors (339651320).

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

215555080 is a wasteful number, since it uses less digits than its factorization.

215555080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

The square root of 215555080 is about 14681.7941682888. The cubic root of 215555080 is about 599.5877538571.

The spelling of 215555080 in words is "two hundred fifteen million, five hundred fifty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 67 92 104 115 130 134 184 230 260 268 269 299 335 460 520 536 538 598 670 871 920 1076 1196 1340 1345 1495 1541 1742 2152 2392 2680 2690 2990 3082 3484 3497 4355 5380 5980 6164 6187 6968 6994 7705 8710 10760 11960 12328 12374 13988 15410 17420 17485 18023 20033 24748 27976 30820 30935 34840 34970 36046 40066 49496 61640 61870 69940 72092 80132 80431 90115 100165 123740 139880 144184 160264 160862 180230 200330 234299 247480 321724 360460 400660 402155 414529 468598 643448 720920 801320 804310 829058 937196 1171495 1608620 1658116 1874392 2072645 2342990 3217240 3316232 4145290 4685980 5388877 8290580 9371960 10777754 16581160 21555508 26944385 43111016 53888770 107777540 215555080