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3222331332 = 22311313721283
BaseRepresentation
bin1100000000010000…
…1101111111000100
322022120101101120220
43000010031333010
523044404100312
61251425424340
7142565235663
oct30004157704
98276341526
103222331332
111403a16250
1275b19b0b0
133c478a13c
14227d5cdda
1513cd5ec8c
hexc010dfc4

3222331332 has 96 divisors (see below), whose sum is σ = 8696131584. Its totient is φ = 919382400.

The previous prime is 3222331313. The next prime is 3222331361. The reversal of 3222331332 is 2331332223.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140763 + ... + 162045.

It is an arithmetic number, because the mean of its divisors is an integer number (90584704).

Almost surely, 23222331332 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 3222331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348065792).

3222331332 is an abundant number, since it is smaller than the sum of its proper divisors (5473800252).

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

3222331332 is a wasteful number, since it uses less digits than its factorization.

3222331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21367 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 3222331332 is about 56765.5822836338. The cubic root of 3222331332 is about 1477.0325451104.

Adding to 3222331332 its reverse (2331332223), we get a palindrome (5553663555).

The spelling of 3222331332 in words is "three billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 341 372 407 444 682 814 1023 1147 1221 1364 1628 2046 2294 2442 3441 4092 4588 4884 6882 12617 13764 21283 25234 37851 42566 50468 63849 75702 85132 127698 151404 234113 255396 468226 659773 702339 787471 936452 1319546 1404678 1574942 1979319 2362413 2639092 2809356 3149884 3958638 4724826 7257503 7917276 8662181 9449652 14515006 17324362 21772509 24411601 25986543 29030012 34648724 43545018 48823202 51973086 73234803 87090036 97646404 103946172 146469606 268527611 292939212 537055222 805582833 1074110444 1611165666 3222331332