Search a number
-
+
3318403220 = 22511211712
BaseRepresentation
bin1100010111001010…
…1101000010010100
322120021011100102222
43011302231002110
523244002400340
61305140521512
7145142650646
oct30562550224
98507140388
103318403220
111453174500
127873b0298
1340b656a02
14236a0a896
151464da8b5
hexc5cad094

3318403220 has 54 divisors (see below), whose sum is σ = 7666299018. Its totient is φ = 1205661600.

The previous prime is 3318403199. The next prime is 3318403229. The reversal of 3318403220 is 223048133.

It can be written as a sum of positive squares in only one way, i.e., 2654722576 + 663680644 = 51524^2 + 25762^2 .

It is a super-2 number, since 2×33184032202 = 22023599861012736800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3318403220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3318403229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2833235 + ... + 2834405.

Almost surely, 23318403220 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 3318403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833149509).

3318403220 is an abundant number, since it is smaller than the sum of its proper divisors (4347895798).

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

3318403220 is a wasteful number, since it uses less digits than its factorization.

3318403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3318403220 is about 57605.5832363496. The cubic root of 3318403220 is about 1491.5679813757.

The spelling of 3318403220 in words is "three billion, three hundred eighteen million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1171 1210 2342 2420 4684 5855 11710 12881 23420 25762 51524 64405 128810 141691 257620 283382 566764 708455 1371241 1416910 2742482 2833820 5484964 6856205 13712410 15083651 27424820 30167302 60334604 75418255 150836510 165920161 301673020 331840322 663680644 829600805 1659201610 3318403220