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2122444134 = 238198513
BaseRepresentation
bin111111010000001…
…1110110101100110
312110220202100000000
41332200132311212
513321321203014
6550335202130
7103411322526
oct17640366546
95426670000
102122444134
1199a078768
124b2976346
1327a948905
14161c4d686
15c64ec509
hex7e81ed66

2122444134 has 72 divisors (see below), whose sum is σ = 5027176440. Its totient is φ = 670166784.

The previous prime is 2122444133. The next prime is 2122444139. The reversal of 2122444134 is 4314442212.

2122444134 is a `hidden beast` number, since 2 + 1 + 2 + 244 + 413 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122444098 and 2122444107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122444133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245062 + ... + 253574.

It is an arithmetic number, because the mean of its divisors is an integer number (69821895).

Almost surely, 22122444134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122444134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513588220).

2122444134 is an abundant number, since it is smaller than the sum of its proper divisors (2904732306).

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

2122444134 is an frugal number, since it uses more digits than its factorization.

2122444134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8537 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2122444134 is about 46069.9916865632. The cubic root of 2122444134 is about 1285.1251492316.

Adding to 2122444134 its reverse (4314442212), we get a palindrome (6436886346).

The spelling of 2122444134 in words is "two billion, one hundred twenty-two million, four hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 2187 3078 4374 4617 6561 8513 9234 13122 13851 17026 25539 27702 41553 51078 76617 83106 124659 153234 161747 229851 249318 323494 459702 485241 689553 970482 1379106 1455723 2068659 2911446 4137318 4367169 6205977 8734338 12411954 13101507 18617931 26203014 37235862 39304521 55853793 78609042 111707586 117913563 235827126 353740689 707481378 1061222067 2122444134