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210230240 = 25511210859
BaseRepresentation
bin11001000011111…
…01101111100000
3112122120210200012
430201331233200
5412304331430
632505544052
75131633103
oct1441755740
9478523605
10210230240
11a8740100
125a4a5028
13347298bc
141dcc673a
15136ca695
hexc87dbe0

210230240 has 72 divisors (see below), whose sum is σ = 545975640. Its totient is φ = 76440320.

The previous prime is 210230227. The next prime is 210230249. The reversal of 210230240 is 42032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210230249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13931 + ... + 24789.

It is an arithmetic number, because the mean of its divisors is an integer number (7582995).

Almost surely, 2210230240 is an apocalyptic number.

210230240 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 210230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272987820).

210230240 is an abundant number, since it is smaller than the sum of its proper divisors (335745400).

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

210230240 is a wasteful number, since it uses less digits than its factorization.

210230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 210230240 is about 14499.3186046793. The cubic root of 210230240 is about 594.6093426973.

Adding to 210230240 its reverse (42032012), we get a palindrome (252262252).

The spelling of 210230240 in words is "two hundred ten million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 10859 19360 21718 43436 54295 86872 108590 119449 173744 217180 238898 347488 434360 477796 597245 868720 955592 1194490 1313939 1737440 1911184 2388980 2627878 3822368 4777960 5255756 6569695 9555920 10511512 13139390 19111840 21023024 26278780 42046048 52557560 105115120 210230240