Search a number
-
+
2226135563613 = 3313296113925793
BaseRepresentation
bin100000011001010000000…
…001001111110101011101
321212211001012210201201000
4200121100001033311131
5242433111201013423
64422401134540513
7316555500036363
oct40312001176535
97784035721630
102226135563613
1178910a543835
122bb534367739
13131c0143cb90
1479a61a73633
153cd90b82843
hex2065004fd5d

2226135563613 has 128 divisors (see below), whose sum is σ = 3761384256000. Its totient is φ = 1291597332480.

The previous prime is 2226135563609. The next prime is 2226135563627. The reversal of 2226135563613 is 3163655316222.

2226135563613 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 3 + 5 + 5 + 636 + 1 + 3 = 666.

It is not a de Polignac number, because 2226135563613 - 22 = 2226135563609 is a prime.

It is a super-2 number, since 2×22261355636132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226135563693) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86294845 + ... + 86320637.

It is an arithmetic number, because the mean of its divisors is an integer number (29385814500).

Almost surely, 22226135563613 is an apocalyptic number.

It is an amenable number.

2226135563613 is a deficient number, since it is larger than the sum of its proper divisors (1535248692387).

2226135563613 is a wasteful number, since it uses less digits than its factorization.

2226135563613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26044 (or 26038 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 2226135563613 in words is "two trillion, two hundred twenty-six billion, one hundred thirty-five million, five hundred sixty-three thousand, six hundred thirteen".

Divisors: 1 3 9 13 27 29 39 61 87 117 139 183 261 351 377 417 549 783 793 1131 1251 1647 1769 1807 2379 3393 3753 4031 5307 5421 7137 8479 10179 12093 15921 16263 21411 22997 25437 25793 36279 47763 48789 52403 68991 76311 77379 108837 110227 157209 206973 228933 232137 245891 330681 335309 471627 620919 696411 737673 747997 992043 1005927 1414881 1573373 2213019 2243991 2976129 3017781 3196583 3585227 4720119 6639057 6731973 9053343 9589749 9723961 10755681 14160357 20195919 20453849 28769247 29171883 32267043 42481071 45627817 46607951 61361547 86307741 87515649 96801129 103971583 136883451 139823853 184084641 218698847 262546947 311914749 410650353 419471559 552253923 593161621 656096541 935744247 1231951059 1258414677 1351630579 1779484863 1968289623 2807232741 2843085011 4054891737 5338454589 5904868869 6342266563 8529255033 12164675211 16015363767 19026799689 25587765099 36494025633 57080399067 76763295297 82449465319 171241197201 247348395957 742045187871 2226135563613