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3222330012 = 2234112931177
BaseRepresentation
bin1100000000010000…
…1101101010011100
322022120101022210000
43000010031222130
523044404030022
61251425414300
7142565232066
oct30004155234
98276338700
103222330012
111403a15260
1275b19a390
133c4789665
14227d5c736
1513cd5e6ac
hexc010da9c

3222330012 has 120 divisors (see below), whose sum is σ = 9506795760. Its totient is φ = 942762240.

The previous prime is 3222329977. The next prime is 3222330053. The reversal of 3222330012 is 2100332223.

It is a happy number.

3222330012 is a `hidden beast` number, since 322 + 2 + 330 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87768 + ... + 118944.

It is an arithmetic number, because the mean of its divisors is an integer number (79223298).

Almost surely, 23222330012 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 3222330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753397880).

3222330012 is an abundant number, since it is smaller than the sum of its proper divisors (6284465748).

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

3222330012 is a wasteful number, since it uses less digits than its factorization.

3222330012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31233 (or 31222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3222330012 is about 56765.5706568691. The cubic root of 3222330012 is about 1477.0323434259.

Adding to 3222330012 its reverse (2100332223), we get a palindrome (5322662235).

The spelling of 3222330012 in words is "three billion, two hundred twenty-two million, three hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 957 1044 1188 1276 1566 1782 1914 2349 2871 3132 3564 3828 4698 5742 8613 9396 11484 17226 25839 31177 34452 51678 62354 93531 103356 124708 187062 280593 342947 374124 561186 685894 841779 904133 1028841 1122372 1371788 1683558 1808266 2057682 2525337 2712399 3086523 3367116 3616532 4115364 5050674 5424798 6173046 8137197 9259569 9945463 10101348 10849596 12346092 16274394 18519138 19890926 24411591 27778707 29836389 32548788 37038276 39781852 48823182 55557414 59672778 73234773 89509167 97646364 111114828 119345556 146469546 179018334 268527501 292939092 358036668 537055002 805582503 1074110004 1611165006 3222330012