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3142000224 = 253211290163
BaseRepresentation
bin1011101101000111…
…0001111001100000
322002222020011000200
42323101301321200
522413323001344
61235435545200
7140601363336
oct27321617140
98088204020
103142000224
111372639300
127382bb200
133b0c4213c
1421b40bb56
15135c93069
hexbb471e60

3142000224 has 108 divisors (see below), whose sum is σ = 9821294028. Its totient is φ = 952110720.

The previous prime is 3142000187. The next prime is 3142000237. The reversal of 3142000224 is 4220002413.

3142000224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3142000197 and 3142000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10234 + ... + 79929.

Almost surely, 23142000224 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 3142000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910647014).

3142000224 is an abundant number, since it is smaller than the sum of its proper divisors (6679293804).

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

3142000224 is a wasteful number, since it uses less digits than its factorization.

3142000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90201 (or 90179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3142000224 is about 56053.5478270555. The cubic root of 3142000224 is about 1464.6552204599.

Adding to 3142000224 its reverse (4220002413), we get a palindrome (7362002637).

The spelling of 3142000224 in words is "three billion, one hundred forty-two million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 90163 180326 270489 360652 540978 721304 811467 991793 1081956 1442608 1622934 1983586 2163912 2885216 2975379 3245868 3967172 4327824 5950758 6491736 7934344 8655648 8926137 10909723 11901516 12983472 15868688 17852274 21819446 23803032 25966944 31737376 32729169 35704548 43638892 47606064 65458338 71409096 87277784 95212128 98187507 130916676 142818192 174555568 196375014 261833352 285636384 349111136 392750028 523666704 785500056 1047333408 1571000112 3142000224