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3222067956 = 2231923123993
BaseRepresentation
bin1100000000001100…
…1101101011110100
322022112220000022020
43000003031223310
523044322133311
61251420033140
7142563061062
oct30003155364
98275800266
103222067956
111403856388
1275b0927b0
133c46c72b3
14227cd1032
1513cd0bc06
hexc00cdaf4

3222067956 has 72 divisors (see below), whose sum is σ = 8190975744. Its totient is φ = 984631680.

The previous prime is 3222067949. The next prime is 3222067957. The reversal of 3222067956 is 6597602223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222067957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122296 + ... + 146288.

It is an arithmetic number, because the mean of its divisors is an integer number (113763552).

Almost surely, 23222067956 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 3222067956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095487872).

3222067956 is an abundant number, since it is smaller than the sum of its proper divisors (4968907788).

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

3222067956 is a wasteful number, since it uses less digits than its factorization.

3222067956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24069 (or 24048 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3222067956 is about 56763.2623798175. The cubic root of 3222067956 is about 1476.9923024535.

The spelling of 3222067956 in words is "three billion, two hundred twenty-two million, sixty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 361 372 589 722 1083 1178 1444 1767 2166 2356 3534 4332 7068 11191 22382 23993 33573 44764 47986 67146 71979 95972 134292 143958 287916 455867 743783 911734 1367601 1487566 1823468 2231349 2735202 2975132 4462698 5470404 8661473 8925396 14131877 17322946 25984419 28263754 34645892 42395631 51968838 56527508 84791262 103937676 169582524 268505663 537011326 805516989 1074022652 1611033978 3222067956