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231922944 = 2832119151
BaseRepresentation
bin11011101001011…
…01110100000000
3121011101220110200
431310231310000
5433333013234
635002525200
75514212121
oct1564556400
9534356420
10231922944
11109a07160
1265806800
1339083616
1422b32048
1515562d99
hexdd2dd00

231922944 has 108 divisors (see below), whose sum is σ = 729560832. Its totient is φ = 70272000.

The previous prime is 231922921. The next prime is 231922981. The reversal of 231922944 is 449229132.

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 junction number, because it is equal to n+sod(n) for n = 231922899 and 231922908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20769 + ... + 29919.

Almost surely, 2231922944 is an apocalyptic number.

231922944 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 231922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364780416).

231922944 is an abundant number, since it is smaller than the sum of its proper divisors (497637888).

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

231922944 is a wasteful number, since it uses less digits than its factorization.

231922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9167 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 231922944 is about 15229.0165145357. The cubic root of 231922944 is about 614.3953287405.

The spelling of 231922944 in words is "two hundred thirty-one million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 9151 12672 18302 25344 27453 36604 54906 73208 82359 100661 109812 146416 164718 201322 219624 292832 301983 329436 402644 439248 585664 603966 658872 805288 878496 905949 1171328 1207932 1317744 1610576 1756992 1811898 2342656 2415864 2635488 3221152 3513984 3623796 4831728 5270976 6442304 7027968 7247592 9663456 10541952 12884608 14495184 19326912 21083904 25769216 28990368 38653824 57980736 77307648 115961472 231922944