Search a number
-
+
3212000232 = 2337234911693
BaseRepresentation
bin1011111101110011…
…0011101111101000
322021211221111222120
42333130303233220
523034233001412
61250420151240
7142411360110
oct27734635750
98254844876
103212000232
1113a90aa351
12757838520
133c25b096c
14226830040
1513bebdb8c
hexbf733be8

3212000232 has 128 divisors (see below), whose sum is σ = 9601320960. Its totient is φ = 875508480.

The previous prime is 3212000227. The next prime is 3212000237. The reversal of 3212000232 is 2320002123.

It is an interprime number because it is at equal distance from previous prime (3212000227) and next prime (3212000237).

It is not an unprimeable number, because it can be changed into a prime (3212000237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896378 + ... + 1898070.

It is an arithmetic number, because the mean of its divisors is an integer number (75010320).

Almost surely, 23212000232 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 3212000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800660480).

3212000232 is an abundant number, since it is smaller than the sum of its proper divisors (6389320728).

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

3212000232 is a wasteful number, since it uses less digits than its factorization.

3212000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3212000232 is about 56674.5113079945. The cubic root of 3212000232 is about 1475.4523529943.

Adding to 3212000232 its reverse (2320002123), we get a palindrome (5532002355).

The spelling of 3212000232 in words is "three billion, two hundred twelve million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 491 552 644 966 982 1288 1473 1693 1932 1964 2946 3386 3437 3864 3928 5079 5892 6772 6874 10158 10311 11293 11784 11851 13544 13748 20316 20622 22586 23702 27496 33879 35553 38939 40632 41244 45172 47404 67758 71106 77878 79051 82488 90344 94808 116817 135516 142212 155756 158102 233634 237153 271032 272573 284424 311512 316204 467268 474306 545146 632408 817719 831263 934536 948612 1090292 1635438 1662526 1897224 2180584 2493789 3270876 3325052 4987578 5818841 6541752 6650104 9975156 11637682 17456523 19119049 19950312 23275364 34913046 38238098 46550728 57357147 69826092 76476196 114714294 133833343 139652184 152952392 229428588 267666686 401500029 458857176 535333372 803000058 1070666744 1606000116 3212000232