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2205013131264 = 214344861107
BaseRepresentation
bin100000000101100101000…
…001100100000000000000
321210210112011012222201210
4200011211001210000000
5242111331330200024
64404545151530120
7315210165240066
oct40054501440000
97723464188653
102205013131264
11780160478779
122b741a529940
1312cc1635bcb8
1478a1a690036
153c5565ee129
hex20165064000

2205013131264 has 60 divisors (see below), whose sum is σ = 5879855703344. Its totient is φ = 735004360704.

The previous prime is 2205013131263. The next prime is 2205013131271. The reversal of 2205013131264 is 4621313105022.

It is a super-4 number, since 4×22050131312644 (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2205013131263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22381402 + ... + 22479705.

Almost surely, 22205013131264 is an apocalyptic number.

2205013131264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2205013131264 is an abundant number, since it is smaller than the sum of its proper divisors (3674842572080).

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

2205013131264 is an frugal number, since it uses more digits than its factorization.

2205013131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44861138 (or 44861112 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 2205013131264 its reverse (4621313105022), we get a palindrome (6826326236286).

The spelling of 2205013131264 in words is "two trillion, two hundred five billion, thirteen million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 49152 44861107 89722214 134583321 179444428 269166642 358888856 538333284 717777712 1076666568 1435555424 2153333136 2871110848 4306666272 5742221696 8613332544 11484443392 17226665088 22968886784 34453330176 45937773568 68906660352 91875547136 137813320704 183751094272 275626641408 367502188544 551253282816 735004377088 1102506565632 2205013131264