Search a number
-
+
2274331932464 = 241989311926951
BaseRepresentation
bin100001000110001000101…
…111110011011100110000
322001102110002202221112012
4201012020233303130300
5244230312433314324
64500451430222052
7323213031312314
oct41061057633460
98042402687465
102274331932464
117a75a20a2029
123089451b4928
1313661261ab27
147c114a23b44
153e26200320e
hex21188bf3730

2274331932464 has 80 divisors (see below), whose sum is σ = 4692235392000. Its totient is φ = 1064829427200.

The previous prime is 2274331932451. The next prime is 2274331932497. The reversal of 2274331932464 is 4642391334722.

It is a super-2 number, since 2×22743319324642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84374189 + ... + 84401139.

It is an arithmetic number, because the mean of its divisors is an integer number (58652942400).

Almost surely, 22274331932464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274331932464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346117696000).

2274331932464 is an abundant number, since it is smaller than the sum of its proper divisors (2417903459536).

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

2274331932464 is a wasteful number, since it uses less digits than its factorization.

2274331932464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30186 (or 30180 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 50.

The spelling of 2274331932464 in words is "two trillion, two hundred seventy-four billion, three hundred thirty-one million, nine hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 712 1424 1691 3119 3382 6238 6764 12476 13528 24952 26951 27056 49904 53902 59261 107804 118522 215608 237044 277591 431216 474088 512069 555182 948176 1024138 1110364 2048276 2220728 2398639 4096552 4441456 4797278 5274229 8193104 9594556 10548458 19189112 21096916 38378224 42193832 45574141 84060169 84387664 91148282 168120338 182296564 336240676 364593128 672481352 729186256 1344962704 1597143211 3194286422 6388572844 7481355041 12777145688 14962710082 25554291376 29925420164 59850840328 119701680656 142145745779 284291491558 568582983116 1137165966232 2274331932464