Search a number
-
+
229795388064 = 25321172536423
BaseRepresentation
bin1101011000000011011…
…1110101101010100000
3210222010211120020001200
43112000313311222200
512231110104404224
6253322212401200
722413354366414
oct3260067655240
9728124506050
10229795388064
1189501562260
1238652016200
13188921a3a08
14b19d2a6d44
155e9e1325c9
hex3580df5aa0

229795388064 has 72 divisors (see below), whose sum is σ = 712887975072. Its totient is φ = 69634965120.

The previous prime is 229795388059. The next prime is 229795388087. The reversal of 229795388064 is 460883597922.

229795388064 is a `hidden beast` number, since 2 + 2 + 97 + 9 + 538 + 8 + 0 + 6 + 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 3×2297953880643 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229795387992 and 229795388010.

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, 36265044 + ... + 36271379.

It is an arithmetic number, because the mean of its divisors is an integer number (9901221876).

Almost surely, 2229795388064 is an apocalyptic number.

229795388064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229795388064 is an abundant number, since it is smaller than the sum of its proper divisors (483092587008).

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

229795388064 is a wasteful number, since it uses less digits than its factorization.

229795388064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72536450 (or 72536439 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 229795388064 in words is "two hundred twenty-nine billion, seven hundred ninety-five million, three hundred eighty-eight 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 72536423 145072846 217609269 290145692 435218538 580291384 652827807 797900653 870437076 1160582768 1305655614 1595801306 1740874152 2321165536 2393701959 2611311228 3191602612 3481748304 4787403918 5222622456 6383205224 6963496608 7181105877 9574807836 10445244912 12766410448 14362211754 19149615672 20890489824 25532820896 28724423508 38299231344 57448847016 76598462688 114897694032 229795388064