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210230880 = 25351632687
BaseRepresentation
bin11001000011111…
…01111001100000
3112122120211112220
430201331321200
5412304342010
632505551040
75131635006
oct1441757140
9478524486
10210230880
11a8740632
125a4a5480
1334729c92
141dcc6a76
15136ca970
hexc87de60

210230880 has 96 divisors (see below), whose sum is σ = 666537984. Its totient is φ = 55696896.

The previous prime is 210230873. The next prime is 210230897. The reversal of 210230880 is 88032012.

210230880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 210230880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76897 + ... + 79583.

It is an arithmetic number, because the mean of its divisors is an integer number (6943104).

Almost surely, 2210230880 is an apocalyptic number.

210230880 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 210230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268992).

210230880 is an abundant number, since it is smaller than the sum of its proper divisors (456307104).

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

210230880 is a wasteful number, since it uses less digits than its factorization.

210230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 210230880 is about 14499.3406746652. The cubic root of 210230880 is about 594.6099460827.

Adding to 210230880 its reverse (88032012), we get a palindrome (298262892).

The spelling of 210230880 in words is "two hundred ten million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 2687 3260 3912 4890 5216 5374 6520 7824 8061 9780 10748 13040 13435 15648 16122 19560 21496 26080 26870 32244 39120 40305 42992 53740 64488 78240 80610 85984 107480 128976 161220 214960 257952 322440 429920 437981 644880 875962 1289760 1313943 1751924 2189905 2627886 3503848 4379810 5255772 6569715 7007696 8759620 10511544 13139430 14015392 17519240 21023088 26278860 35038480 42046176 52557720 70076960 105115440 210230880