Search a number
-
+
2202123040 = 2551323191241
BaseRepresentation
bin1000001101000001…
…1011101100100000
312200110200102220121
42003100123230200
514002220414130
61002303050024
7105366510535
oct20320335440
95613612817
102202123040
11a3004a6a7
125155a0914
132912c5ab0
1416c670d8c
15cd4dad7a
hex8341bb20

2202123040 has 192 divisors, whose sum is σ = 5901299712. Its totient is φ = 770457600.

The previous prime is 2202123031. The next prime is 2202123059. The reversal of 2202123040 is 403212022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9137320 + ... + 9137560.

It is an arithmetic number, because the mean of its divisors is an integer number (30735936).

Almost surely, 22202123040 is an apocalyptic number.

2202123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950649856).

2202123040 is an abundant number, since it is smaller than the sum of its proper divisors (3699176672).

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

2202123040 is a wasteful number, since it uses less digits than its factorization.

2202123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2202123040 is about 46926.7838233135. The cubic root of 2202123040 is about 1301.0096771447.

Adding to 2202123040 its reverse (403212022), we get a palindrome (2605335062).

The spelling of 2202123040 in words is "two billion, two hundred two million, one hundred twenty-three thousand, forty".