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224052332 = 227191133727
BaseRepresentation
bin11010101101011…
…00010001101100
3120121121001000112
431112230101230
5424324133312
634122115152
75360261540
oct1526542154
9517531015
10224052332
11105520919
126304bab8
133755905a
1421a83a20
1514a0ad22
hexd5ac46c

224052332 has 48 divisors (see below), whose sum is σ = 475991040. Its totient is φ = 90139392.

The previous prime is 224052307. The next prime is 224052341. The reversal of 224052332 is 233250422.

224052332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224052298 and 224052307.

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, 58253 + ... + 61979.

It is an arithmetic number, because the mean of its divisors is an integer number (9916480).

Almost surely, 2224052332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224052332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237995520).

224052332 is an abundant number, since it is smaller than the sum of its proper divisors (251938708).

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

224052332 is a wasteful number, since it uses less digits than its factorization.

224052332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 224052332 is about 14968.3777344106. The cubic root of 224052332 is about 607.3650855658.

The spelling of 224052332 in words is "two hundred twenty-four million, fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1582 2147 3164 3727 4294 7454 8588 14908 15029 26089 30058 52178 60116 70813 104356 141626 283252 421151 495691 842302 991382 1684604 1982764 2948057 5896114 8001869 11792228 16003738 32007476 56013083 112026166 224052332