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3220303312 = 241931273151
BaseRepresentation
bin1011111111110001…
…1110110111010000
322022102120100200001
42333330132313100
523043344201222
61251314135344
7142542061252
oct27774366720
98272510601
103220303312
1114028605a6
1275a581554
133c422a025
14227991cd2
1513caade27
hexbff1edd0

3220303312 has 120 divisors (see below), whose sum is σ = 6924943680. Its totient is φ = 1446336000.

The previous prime is 3220303309. The next prime is 3220303321. The reversal of 3220303312 is 2133030223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 3220303312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21326437 + ... + 21326587.

It is an arithmetic number, because the mean of its divisors is an integer number (57707864).

Almost surely, 23220303312 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 3220303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462471840).

3220303312 is an abundant number, since it is smaller than the sum of its proper divisors (3704640368).

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

3220303312 is a wasteful number, since it uses less digits than its factorization.

3220303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3220303312 is about 56747.7163593391. The cubic root of 3220303312 is about 1476.7226162770.

Adding to 3220303312 its reverse (2133030223), we get a palindrome (5353333535).

The spelling of 3220303312 in words is "three billion, two hundred twenty million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 38 62 73 76 124 146 151 152 248 292 302 304 496 584 589 604 961 1168 1178 1208 1387 1922 2263 2356 2416 2774 2869 3844 4526 4681 4712 5548 5738 7688 9052 9362 9424 11023 11096 11476 15376 18104 18259 18724 22046 22192 22952 36208 36518 37448 42997 44092 45904 70153 73036 74896 85994 88184 88939 140306 145111 146072 171988 176368 177878 209437 280612 290222 292144 341713 343976 355756 418874 561224 580444 683426 687952 711512 837748 1122448 1160888 1332907 1366852 1423024 1675496 2321776 2665814 2733704 2757109 3350992 5331628 5467408 5514218 6492547 10593103 10663256 11028436 12985094 21186206 21326512 22056872 25970188 42372412 44113744 51940376 84744824 103880752 169489648 201268957 402537914 805075828 1610151656 3220303312