[go: up one dir, main page]

Search a number
-
+
3312232220 = 2251125232617
BaseRepresentation
bin1100010101101100…
…1010011100011100
322112211112211102102
43011123022130130
523240412412340
61304400344232
7145036336463
oct30533123434
98484484372
103312232220
11144a73a100
12785315078
1340a2a5c2b
14235c819da
15145bbc215
hexc56ca71c

3312232220 has 72 divisors (see below), whose sum is σ = 7663053552. Its totient is φ = 1201685760.

The previous prime is 3312232207. The next prime is 3312232243. The reversal of 3312232220 is 222322133.

3312232220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33122322202 = 21941764558412256800, which contains 22 as substring.

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 = 3312232192 and 3312232201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264352 + ... + 1266968.

Almost surely, 23312232220 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 3312232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831526776).

3312232220 is an abundant number, since it is smaller than the sum of its proper divisors (4350821332).

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

3312232220 is a wasteful number, since it uses less digits than its factorization.

3312232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3312232220 is about 57551.9957951069. The cubic root of 3312232220 is about 1490.6428197909.

Adding to 3312232220 its reverse (222322133), we get a palindrome (3534554353).

It can be divided in two parts, 3312 and 232220, that added together give a palindrome (235532).

The spelling of 3312232220 in words is "three billion, three hundred twelve million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 523 605 1046 1210 2092 2420 2615 2617 5230 5234 5753 10460 10468 11506 13085 23012 26170 28765 28787 52340 57530 57574 63283 115060 115148 126566 143935 253132 287870 316415 316657 575740 632830 633314 1265660 1266628 1368691 1583285 2737382 3166570 5474764 6333140 6843455 13686910 15055601 27373820 30111202 60222404 75278005 150556010 165611611 301112020 331223222 662446444 828058055 1656116110 3312232220