[go: up one dir, main page]

Search a number
-
+
3322231044 = 22311236117939
BaseRepresentation
bin1100011000000101…
…0011100100000100
322120112100211020020
43012001103210010
523300442343134
61305354535140
7145220332536
oct30601234404
98515324206
103322231044
1114553493a0
127887374b0
1340c3970b2
14237325856
151469e4b49
hexc6053904

3322231044 has 96 divisors (see below), whose sum is σ = 8969425920. Its totient is φ = 947126400.

The previous prime is 3322231027. The next prime is 3322231061. The reversal of 3322231044 is 4401322233.

It is an interprime number because it is at equal distance from previous prime (3322231027) and next prime (3322231061).

It is a super-2 number, since 2×33222310442 = 22074438219434659872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176227 + ... + 194165.

It is an arithmetic number, because the mean of its divisors is an integer number (93431520).

Almost surely, 23322231044 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 3322231044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484712960).

3322231044 is an abundant number, since it is smaller than the sum of its proper divisors (5647194876).

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

3322231044 is a wasteful number, since it uses less digits than its factorization.

3322231044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18041 (or 18039 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3322231044 is about 57638.7980790717. The cubic root of 3322231044 is about 1492.1412757617.

Adding to 3322231044 its reverse (4401322233), we get a palindrome (7723553277).

The spelling of 3322231044 in words is "three billion, three hundred twenty-two million, two hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 61 66 69 92 122 132 138 183 244 253 276 366 506 671 732 759 1012 1342 1403 1518 2013 2684 2806 3036 4026 4209 5612 8052 8418 15433 16836 17939 30866 35878 46299 53817 61732 71756 92598 107634 185196 197329 215268 394658 412597 591987 789316 825194 1094279 1183974 1237791 1650388 2188558 2367948 2475582 3282837 4377116 4538567 4951164 6565674 9077134 12037069 13131348 13615701 18154268 24074138 25168417 27231402 36111207 48148276 50336834 54462804 72222414 75505251 100673668 144444828 151010502 276852587 302021004 553705174 830557761 1107410348 1661115522 3322231044