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210250080 = 2534516223
BaseRepresentation
bin11001000100000…
…10100101100000
3112122121210220000
430202002211200
5412311000310
632510220000
75132044665
oct1442024540
9478553800
10210250080
11a8753aa7
125a4b4600
1334735941
141dccda6c
15136d14c0
hexc882960

210250080 has 120 divisors (see below), whose sum is σ = 742053312. Its totient is φ = 56063232.

The previous prime is 210250057. The next prime is 210250081. The reversal of 210250080 is 80052012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2102500802 = 88410192280012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210250081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4849 + ... + 21071.

Almost surely, 2210250080 is an apocalyptic number.

210250080 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 210250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371026656).

210250080 is an abundant number, since it is smaller than the sum of its proper divisors (531803232).

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

210250080 is a wasteful number, since it uses less digits than its factorization.

210250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250 (or 16233 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 210250080 is about 14500.0027586204. The cubic root of 210250080 is about 594.6280470763.

The spelling of 210250080 in words is "two hundred ten million, two hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 16223 32446 48669 64892 81115 97338 129784 146007 162230 194676 243345 259568 292014 324460 389352 438021 486690 519136 584028 648920 730035 778704 876042 973380 1168056 1297840 1314063 1460070 1557408 1752084 1946760 2190105 2336112 2595680 2628126 2920140 3504168 3893520 4380210 4672224 5256252 5840280 6570315 7008336 7787040 8760420 10512504 11680560 13140630 14016672 17520840 21025008 23361120 26281260 35041680 42050016 52562520 70083360 105125040 210250080