Search a number
-
+
229224384 = 26331091217
BaseRepresentation
bin11011010100110…
…10111111000000
3120222022210202000
431222122333000
5432140140014
634425024000
75452242444
oct1552327700
9528283660
10229224384
11108433744
1264925000
133864a23c
142262c824
15151cd509
hexda9afc0

229224384 has 112 divisors (see below), whose sum is σ = 680618400. Its totient is φ = 75644928.

The previous prime is 229224377. The next prime is 229224407. The reversal of 229224384 is 483422922.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187744 + ... + 188960.

It is an arithmetic number, because the mean of its divisors is an integer number (6076950).

Almost surely, 2229224384 is an apocalyptic number.

229224384 is a gapful number since it is divisible by the number (24) 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 229224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340309200).

229224384 is an abundant number, since it is smaller than the sum of its proper divisors (451394016).

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

229224384 is a wasteful number, since it uses less digits than its factorization.

229224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1331 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 229224384 is about 15140.1579912496. The cubic root of 229224384 is about 612.0030757246.

The spelling of 229224384 in words is "two hundred twenty-nine million, two hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 144 192 216 218 288 327 432 436 576 654 864 872 981 1217 1308 1728 1744 1962 2434 2616 2943 3488 3651 3924 4868 5232 5886 6976 7302 7848 9736 10464 10953 11772 14604 15696 19472 20928 21906 23544 29208 31392 32859 38944 43812 47088 58416 62784 65718 77888 87624 94176 116832 131436 132653 175248 188352 233664 262872 265306 350496 397959 525744 530612 700992 795918 1051488 1061224 1193877 1591836 2102976 2122448 2387754 3183672 3581631 4244896 4775508 6367344 7163262 8489792 9551016 12734688 14326524 19102032 25469376 28653048 38204064 57306096 76408128 114612192 229224384