Search a number
-
+
2135224038 = 231753715563
BaseRepresentation
bin111111101000100…
…1110111011100110
312111210210121201210
41333101032323212
513333104132123
6551513132250
7103625050653
oct17721167346
95453717653
102135224038
119a6307472
124b70ba086
132804a189c
14163818c2a
15c76c3e93
hex7f44eee6

2135224038 has 64 divisors (see below), whose sum is σ = 4672691712. Its totient is φ = 647861760.

The previous prime is 2135224037. The next prime is 2135224051. The reversal of 2135224038 is 8304225312.

It is a junction number, because it is equal to n+sod(n) for n = 2135223996 and 2135224014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135224033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381045 + ... + 386607.

It is an arithmetic number, because the mean of its divisors is an integer number (73010808).

Almost surely, 22135224038 is an apocalyptic number.

2135224038 is an abundant number, since it is smaller than the sum of its proper divisors (2537467674).

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

2135224038 is a wasteful number, since it uses less digits than its factorization.

2135224038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2135224038 is about 46208.4844806665. The cubic root of 2135224038 is about 1287.6993703637.

The spelling of 2135224038 in words is "two billion, one hundred thirty-five million, two hundred twenty-four thousand, thirty-eight".

Divisors: 1 2 3 6 17 34 51 53 71 102 106 142 159 213 318 426 901 1207 1802 2414 2703 3621 3763 5406 5563 7242 7526 11126 11289 16689 22578 33378 63971 94571 127942 189142 191913 283713 294839 383826 394973 567426 589678 789946 884517 1184919 1769034 2369838 5012263 6714541 10024526 13429082 15036789 20143623 20933569 30073578 40287246 41867138 62800707 125601414 355870673 711741346 1067612019 2135224038