Search a number
-
+
4402244214 = 234173135107
BaseRepresentation
bin1000001100110010…
…01110101001110110
3102100210121011210000
410012121032221312
533003433303324
62004455212130
7214043313144
oct40631165166
912323534700
104402244214
111959a52265
12a2a377046
1355206a644
142da940594
151ab72d9c9
hex10664ea76

4402244214 has 80 divisors (see below), whose sum is σ = 10479961008. Its totient is φ = 1376414208.

The previous prime is 4402244213. The next prime is 4402244219. The reversal of 4402244214 is 4124422044.

4402244214 is a `hidden beast` number, since 4 + 402 + 2 + 44 + 214 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402244213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 859449 + ... + 864555.

Almost surely, 24402244214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402244214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239980504).

4402244214 is an abundant number, since it is smaller than the sum of its proper divisors (6077716794).

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

4402244214 is a wasteful number, since it uses less digits than its factorization.

4402244214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4402244214 is about 66349.4100501278. The cubic root of 4402244214 is about 1638.9210896468.

Adding to 4402244214 its reverse (4124422044), we get a palindrome (8526666258).

The spelling of 4402244214 in words is "four billion, four hundred two million, two hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 313 459 626 918 939 1377 1878 2754 2817 5107 5321 5634 8451 10214 10642 15321 15963 16902 25353 30642 31926 45963 47889 50706 86819 91926 95778 137889 143667 173638 260457 275778 287334 413667 431001 520914 781371 827334 862002 1562742 1598491 2344113 3196982 4688226 4795473 7032339 9590946 14064678 14386419 27174347 28772838 43159257 54348694 81523041 86318514 129477771 163046082 244569123 258955542 489138246 733707369 1467414738 2201122107 4402244214