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3122221024 = 251337712857
BaseRepresentation
bin1011101000011001…
…0100111111100000
322001121000021001201
42322012110333200
522343242033044
61233452010544
7140241304126
oct27206247740
98047007051
103122221024
11136245995a
12731760a54
133a9b08380
1421893d916
151341877d4
hexba194fe0

3122221024 has 96 divisors (see below), whose sum is σ = 6896788416. Its totient is φ = 1381847040.

The previous prime is 3122221019. The next prime is 3122221027. The reversal of 3122221024 is 4201222213.

3122221024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3122220992 and 3122221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122221027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091404 + ... + 1094260.

It is an arithmetic number, because the mean of its divisors is an integer number (71841546).

Almost surely, 23122221024 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 3122221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448394208).

3122221024 is an abundant number, since it is smaller than the sum of its proper divisors (3774567392).

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

3122221024 is a wasteful number, since it uses less digits than its factorization.

3122221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3122221024 is about 55876.8379921413. The cubic root of 3122221024 is about 1461.5753659073.

Adding to 3122221024 its reverse (4201222213), we get a palindrome (7323443237).

The spelling of 3122221024 in words is "three billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 71 74 104 142 148 208 284 296 416 481 568 592 923 962 1136 1184 1846 1924 2272 2627 2857 3692 3848 5254 5714 7384 7696 10508 11428 14768 15392 21016 22856 29536 34151 37141 42032 45712 68302 74282 84064 91424 105709 136604 148564 202847 211418 273208 297128 405694 422836 546416 594256 811388 845672 1092832 1188512 1374217 1622776 1691344 2637011 2748434 3245552 3382688 5274022 5496868 6491104 7505339 10548044 10993736 15010678 21096088 21987472 30021356 42192176 43974944 60042712 84384352 97569407 120085424 195138814 240170848 390277628 780555256 1561110512 3122221024