Search a number
-
+
3222340220 = 22511291573217
BaseRepresentation
bin1100000000010001…
…0000001001111100
322022120101211210002
43000010100021330
523044404341340
61251425533432
7142565303621
oct30004201174
98276354702
103222340220
111403a219a0
1275b1a4278
133c47911b8
14227d62348
1513cd62715
hexc011027c

3222340220 has 96 divisors (see below), whose sum is σ = 7687673280. Its totient is φ = 1123799040.

The previous prime is 3222340211. The next prime is 3222340237. The reversal of 3222340220 is 220432223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3222340192 and 3222340201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000052 + ... + 1003268.

It is an arithmetic number, because the mean of its divisors is an integer number (80079930).

Almost surely, 23222340220 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 3222340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843836640).

3222340220 is an abundant number, since it is smaller than the sum of its proper divisors (4465333060).

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

3222340220 is a wasteful number, since it uses less digits than its factorization.

3222340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3222340220 is about 56765.6605704540. The cubic root of 3222340220 is about 1477.0339031182.

Adding to 3222340220 its reverse (220432223), we get a palindrome (3442772443).

The spelling of 3222340220 in words is "three billion, two hundred twenty-two million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 157 220 290 314 319 580 628 638 785 1276 1570 1595 1727 3140 3190 3217 3454 4553 6380 6434 6908 8635 9106 12868 16085 17270 18212 22765 32170 34540 35387 45530 50083 64340 70774 91060 93293 100166 141548 176935 186586 200332 250415 353870 373172 466465 500830 505069 707740 932930 1001660 1010138 1026223 1865860 2020276 2052446 2525345 4104892 5050690 5131115 5555759 10101380 10262230 11111518 14647001 20524460 22223036 27778795 29294002 55557590 58588004 73235005 111115180 146470010 161117011 292940020 322234022 644468044 805585055 1611170110 3222340220