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231020064 = 25321172923
BaseRepresentation
bin11011100010100…
…01011000100000
3121002201000221200
431301101120200
5433120120224
634531321200
75503431612
oct1561213040
9532630850
10231020064
1110944a880
1265450200
1338b28682
1422978db2
15154355c9
hexdc51620

231020064 has 72 divisors (see below), whose sum is σ = 716697072. Its totient is φ = 70005120.

The previous prime is 231020051. The next prime is 231020071. The reversal of 231020064 is 460020132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 33294 + ... + 39629.

It is an arithmetic number, because the mean of its divisors is an integer number (9954126).

Almost surely, 2231020064 is an apocalyptic number.

231020064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231020064 is an abundant number, since it is smaller than the sum of its proper divisors (485677008).

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

231020064 is a wasteful number, since it uses less digits than its factorization.

231020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72950 (or 72939 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231020064 is about 15199.3441963790. The cubic root of 231020064 is about 613.5970080319.

Adding to 231020064 its reverse (460020132), we get a palindrome (691040196).

The spelling of 231020064 in words is "two hundred thirty-one million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 72923 145846 218769 291692 437538 583384 656307 802153 875076 1166768 1312614 1604306 1750152 2333536 2406459 2625228 3208612 3500304 4812918 5250456 6417224 7000608 7219377 9625836 10500912 12834448 14438754 19251672 21001824 25668896 28877508 38503344 57755016 77006688 115510032 231020064