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4225335224 = 2311793591693
BaseRepresentation
bin1111101111011001…
…0111111110111000
3101220110201021021012
43323312113332320
532123141211344
61535135333052
7206464520405
oct37366277670
911813637235
104225335224
111879100990
1299b081188
13524509676
142c124d2ac
1519ae3629e
hexfbd97fb8

4225335224 has 64 divisors (see below), whose sum is σ = 8781696000. Its totient is φ = 1889896320.

The previous prime is 4225335223. The next prime is 4225335239.

4225335224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225335223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494922 + ... + 2496614.

It is an arithmetic number, because the mean of its divisors is an integer number (137214000).

Almost surely, 24225335224 is an apocalyptic number.

4225335224 is a gapful number since it is divisible by the number (44) 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 4225335224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

4225335224 is an abundant number, since it is smaller than the sum of its proper divisors (4556360776).

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

4225335224 is a wasteful number, since it uses less digits than its factorization.

4225335224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 4225335224 is about 65002.5785950065. The cubic root of 4225335224 is about 1616.6663173462. Note that the first 3 decimals are identical.

It can be divided in two parts, 42253 and 35224, that added together give a palindrome (77477).

The spelling of 4225335224 in words is "four billion, two hundred twenty-five million, three hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 359 632 718 869 1436 1693 1738 2872 3386 3476 3949 6772 6952 7898 13544 15796 18623 28361 31592 37246 56722 74492 113444 133747 148984 226888 267494 311971 534988 607787 623942 1069976 1215574 1247884 1471217 2431148 2495768 2942434 4862296 5884868 6685657 11769736 13371314 26742628 48015173 53485256 96030346 192060692 384121384 528166903 1056333806 2112667612 4225335224