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3223165840 = 245229175937
BaseRepresentation
bin1100000000011101…
…1001101110010000
322022121221210022121
43000013121232100
523100112301330
61251455344024
7142605312646
oct30007315620
98277853277
103223165840
111404436224
1275b522014
133c49bcc2b
142280d9196
1513ce7717a
hexc01d9b90

3223165840 has 40 divisors (see below), whose sum is σ = 7526627640. Its totient is φ = 1283629056.

The previous prime is 3223165831. The next prime is 3223165849. The reversal of 3223165840 is 485613223.

It is an interprime number because it is at equal distance from previous prime (3223165831) and next prime (3223165849).

It can be written as a sum of positive squares in 4 ways, for example, as 146023056 + 3077142784 = 12084^2 + 55472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3223165796 and 3223165805.

It is not an unprimeable number, because it can be changed into a prime (3223165849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69649 + ... + 106288.

It is an arithmetic number, because the mean of its divisors is an integer number (188165691).

Almost surely, 23223165840 is an apocalyptic number.

It is an amenable number.

3223165840 is an abundant number, since it is smaller than the sum of its proper divisors (4303461800).

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

3223165840 is a wasteful number, since it uses less digits than its factorization.

3223165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176179 (or 176173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 3223165840 is about 56772.9322829110. The cubic root of 3223165840 is about 1477.1600396642.

The spelling of 3223165840 in words is "three billion, two hundred twenty-three million, one hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 175937 351874 703748 879685 1407496 1759370 2814992 3518740 7037480 14074960 40289573 80579146 161158292 201447865 322316584 402895730 644633168 805791460 1611582920 3223165840