Search a number
-
+
22323543264 = 2532117046573
BaseRepresentation
bin10100110010100101…
…100011110011100000
32010121202200111101200
4110302211203303200
5331204311341024
614131051001200
71420124662341
oct246245436340
963552614350
1022323543264
119516070510
1243b0139200
132149ba3bc9
14111ab220c8
158a9c3d2c9
hex532963ce0

22323543264 has 72 divisors (see below), whose sum is σ = 69253729272. Its totient is φ = 6764709120.

The previous prime is 22323543199. The next prime is 22323543287. The reversal of 22323543264 is 46234532322.

22323543264 is a `hidden beast` number, since 2 + 2 + 323 + 5 + 4 + 326 + 4 = 666.

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

It is a super-3 number, since 3×223235432643 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3520119 + ... + 3526454.

It is an arithmetic number, because the mean of its divisors is an integer number (961857351).

Almost surely, 222323543264 is an apocalyptic number.

22323543264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22323543264 is an abundant number, since it is smaller than the sum of its proper divisors (46930186008).

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

22323543264 is a wasteful number, since it uses less digits than its factorization.

22323543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046600 (or 7046589 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The spelling of 22323543264 in words is "twenty-two billion, three hundred twenty-three million, five hundred forty-three thousand, two hundred 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 7046573 14093146 21139719 28186292 42279438 56372584 63419157 77512303 84558876 112745168 126838314 155024606 169117752 225490336 232536909 253676628 310049212 338235504 465073818 507353256 620098424 676471008 697610727 930147636 1014706512 1240196848 1395221454 1860295272 2029413024 2480393696 2790442908 3720590544 5580885816 7441181088 11161771632 22323543264