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4224025032 = 2333161163571
BaseRepresentation
bin1111101111000101…
…1000000111001000
3101220101020201000120
43323301120013020
532122322300112
61535051303240
7206450422533
oct37361300710
911811221016
104224025032
111878396587
1299a74ab20
1352416b1c6
142c0dcba1a
1519ac77e8c
hexfbc581c8

4224025032 has 128 divisors (see below), whose sum is σ = 11166904320. Its totient is φ = 1329696000.

The previous prime is 4224024997. The next prime is 4224025067. The reversal of 4224025032 is 2305204224.

It is a happy number.

4224025032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4224024997) and next prime (4224025067).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4224024993 and 4224025011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7397307 + ... + 7397877.

It is an arithmetic number, because the mean of its divisors is an integer number (87241440).

Almost surely, 24224025032 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 4224025032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583452160).

4224025032 is an abundant number, since it is smaller than the sum of its proper divisors (6942879288).

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

4224025032 is a wasteful number, since it uses less digits than its factorization.

4224025032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4224025032 is about 64992.4998134400. The cubic root of 4224025032 is about 1616.4992014345.

Adding to 4224025032 its reverse (2305204224), we get a palindrome (6529229256).

The spelling of 4224025032 in words is "four billion, two hundred twenty-four million, twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 163 183 186 244 248 326 366 372 488 489 571 652 732 744 978 1142 1304 1464 1713 1891 1956 2284 3426 3782 3912 4568 5053 5673 6852 7564 9943 10106 11346 13704 15128 15159 17701 19886 20212 22692 29829 30318 34831 35402 39772 40424 45384 53103 59658 60636 69662 70804 79544 93073 104493 106206 119316 121272 139324 141608 186146 208986 212412 238632 278648 279219 308233 372292 417972 424824 558438 616466 744584 835944 924699 1079761 1116876 1232932 1849398 2159522 2233752 2465864 2885263 3239283 3698796 4319044 5677453 5770526 6478566 7397592 8638088 8655789 11354906 11541052 12957132 17032359 17311578 22709812 23082104 25914264 34064718 34623156 45419624 68129436 69246312 136258872 176001043 352002086 528003129 704004172 1056006258 1408008344 2112012516 4224025032