Search a number
-
+
3323213220 = 2235716411217
BaseRepresentation
bin1100011000010100…
…0011010110100100
322120121012201112010
43012011003112210
523301220310340
61305431554220
7145231563165
oct30605032644
98517181463
103323213220
11145595a308
12788b2b970
1340c64c172
142374dd76c
15146b3ab80
hexc61435a4

3323213220 has 96 divisors (see below), whose sum is σ = 9458539776. Its totient is φ = 871628800.

The previous prime is 3323213219. The next prime is 3323213233. The reversal of 3323213220 is 223123233.

It is a super-2 number, since 2×33232132202 = 22087492211165536800, which contains 22 as substring.

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, 2730052 + ... + 2731268.

It is an arithmetic number, because the mean of its divisors is an integer number (98526456).

Almost surely, 23323213220 is an apocalyptic number.

3323213220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729269888).

3323213220 is an abundant number, since it is smaller than the sum of its proper divisors (6135326556).

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

3323213220 is a wasteful number, since it uses less digits than its factorization.

3323213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3323213220 is about 57647.3175438372. The cubic root of 3323213220 is about 1492.2883055669.

Adding to 3323213220 its reverse (223123233), we get a palindrome (3546336453).

The spelling of 3323213220 in words is "three billion, three hundred twenty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 641 710 852 1065 1217 1282 1420 1923 2130 2434 2564 3205 3651 3846 4260 4868 6085 6410 7302 7692 9615 12170 12820 14604 18255 19230 24340 36510 38460 45511 73020 86407 91022 136533 172814 182044 227555 259221 273066 345628 432035 455110 518442 546132 682665 780097 864070 910220 1036884 1296105 1365330 1560194 1728140 2340291 2592210 2730660 3120388 3900485 4680582 5184420 7800970 9361164 11701455 15601940 23402910 46805820 55386887 110773774 166160661 221547548 276934435 332321322 553868870 664642644 830803305 1107737740 1661606610 3323213220