Search a number
-
+
3021222144 = 28317921977
BaseRepresentation
bin1011010000010100…
…0011000100000000
321210112221222122110
42310011003010000
522141413102034
61215443135320
7134603651553
oct26405030400
97715858573
103021222144
111310445a06
12703974540
13391c05015
1420936c69a
1512a386de9
hexb4143100

3021222144 has 72 divisors (see below), whose sum is σ = 8086145760. Its totient is φ = 1001402368.

The previous prime is 3021222143. The next prime is 3021222157. The reversal of 3021222144 is 4412221203.

It is a self number, because there is not a number n which added to its sum of digits gives 3021222144.

It is not an unprimeable number, because it can be changed into a prime (3021222143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126484 + ... + 148460.

It is an arithmetic number, because the mean of its divisors is an integer number (112307580).

Almost surely, 23021222144 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 3021222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043072880).

3021222144 is an abundant number, since it is smaller than the sum of its proper divisors (5064923616).

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

3021222144 is a wasteful number, since it uses less digits than its factorization.

3021222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3021222144 is about 54965.6451249324. The cubic root of 3021222144 is about 1445.6424299852.

Adding to 3021222144 its reverse (4412221203), we get a palindrome (7433443347).

The spelling of 3021222144 in words is "three billion, twenty-one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 537 716 768 1074 1432 2148 2864 4296 5728 8592 11456 17184 21977 22912 34368 43954 45824 65931 68736 87908 131862 137472 175816 263724 351632 527448 703264 1054896 1406528 2109792 2813056 3933883 4219584 5626112 7867766 8439168 11801649 15735532 16878336 23603298 31471064 47206596 62942128 94413192 125884256 188826384 251768512 377652768 503537024 755305536 1007074048 1510611072 3021222144