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2230032224 = 25779126019
BaseRepresentation
bin1000010011101011…
…1001011101100000
312202102012101010002
42010322321131200
514031342012344
61005141155132
7106155650450
oct20472713540
95672171102
102230032224
11a44882242
125229bbaa8
132970181c4
14172257d60
15d0ba044e
hex84eb9760

2230032224 has 48 divisors (see below), whose sum is σ = 5081126400. Its totient is φ = 943622784.

The previous prime is 2230032209. The next prime is 2230032241. The reversal of 2230032224 is 4222300322.

It is a junction number, because it is equal to n+sod(n) for n = 2230032196 and 2230032205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45314 + ... + 80705.

It is an arithmetic number, because the mean of its divisors is an integer number (105856800).

Almost surely, 22230032224 is an apocalyptic number.

It is an amenable number.

2230032224 is an abundant number, since it is smaller than the sum of its proper divisors (2851094176).

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

2230032224 is a wasteful number, since it uses less digits than its factorization.

2230032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126115 (or 126107 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2230032224 is about 47223.2170018096. The cubic root of 2230032224 is about 1306.4828491019.

Adding to 2230032224 its reverse (4222300322), we get a palindrome (6452332546).

The spelling of 2230032224 in words is "two billion, two hundred thirty million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 17696 126019 252038 504076 882133 1008152 1764266 2016304 3528532 4032608 7057064 9955501 14114128 19911002 28228256 39822004 69688507 79644008 139377014 159288016 278754028 318576032 557508056 1115016112 2230032224