[go: up one dir, main page]

Search a number
-
+
4222405272 = 233537942019
BaseRepresentation
bin1111101110101100…
…1100101010011000
3101220021012102010110
43323223030222120
532121413432042
61534552444320
7206430565311
oct37353145230
911807172113
104222405272
11187748a638
1299a0a96a0
13523a21b77
142c0ac9608
1519aa5809c
hexfbacca98

4222405272 has 64 divisors (see below), whose sum is σ = 10891584000. Its totient is φ = 1363400064.

The previous prime is 4222405261. The next prime is 4222405273. The reversal of 4222405272 is 2725042224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222405273) 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, 79479 + ... + 121497.

It is an arithmetic number, because the mean of its divisors is an integer number (170181000).

Almost surely, 24222405272 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 4222405272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445792000).

4222405272 is an abundant number, since it is smaller than the sum of its proper divisors (6669178728).

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

4222405272 is a wasteful number, since it uses less digits than its factorization.

4222405272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42160 (or 42156 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 4222405272 is about 64980.0374884472. The cubic root of 4222405272 is about 1616.2925521306.

Adding to 4222405272 its reverse (2725042224), we get a palindrome (6947447496).

The spelling of 4222405272 in words is "four billion, two hundred twenty-two million, four hundred five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 79 106 158 159 212 237 316 318 424 474 632 636 948 1272 1896 4187 8374 12561 16748 25122 33496 42019 50244 84038 100488 126057 168076 252114 336152 504228 1008456 2227007 3319501 4454014 6639002 6681021 8908028 9958503 13278004 13362042 17816056 19917006 26556008 26724084 39834012 53448168 79668024 175933553 351867106 527800659 703734212 1055601318 1407468424 2111202636 4222405272