Search a number
-
+
210234314320 = 2453361781889
BaseRepresentation
bin1100001111001011110…
…0010000111001010000
3202002122120221201102221
43003302330100321100
511421024441024240
6240325202550424
721121542121042
oct3036274207120
9662576851387
10210234314320
1181183876008
12348b3068414
1316a95719574
14a2653d9a92
155706bb8a4a
hex30f2f10e50

210234314320 has 40 divisors (see below), whose sum is σ = 488940837480. Its totient is φ = 84068597760.

The previous prime is 210234314267. The next prime is 210234314327. The reversal of 210234314320 is 23413432012.

It can be written as a sum of positive squares in 4 ways, for example, as 21384967696 + 188849346624 = 146236^2 + 434568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210234314327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122065 + ... + 659824.

It is an arithmetic number, because the mean of its divisors is an integer number (12223520937).

Almost surely, 2210234314320 is an apocalyptic number.

210234314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210234314320 is an abundant number, since it is smaller than the sum of its proper divisors (278706523160).

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

210234314320 is a wasteful number, since it uses less digits than its factorization.

210234314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785263 (or 785257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 210234314320 its reverse (23413432012), we get a palindrome (233647746332).

The spelling of 210234314320 in words is "two hundred ten billion, two hundred thirty-four million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3361 6722 13444 16805 26888 33610 53776 67220 134440 268880 781889 1563778 3127556 3909445 6255112 7818890 12510224 15637780 31275560 62551120 2627928929 5255857858 10511715716 13139644645 21023431432 26279289290 42046862864 52558578580 105117157160 210234314320