Search a number
-
+
2227699532304 = 243261220392
BaseRepresentation
bin100000011010101101001…
…111010100001000010000
321212222002012200120102100
4200122231033110020100
5242444312040013204
64423220244120400
7316642320411021
oct40325517241020
97788065616370
102227699532304
11789842345644
122bb8b0096100
131320c046b63c
1479b6d668c48
153ce33115a39
hex206ad3d4210

2227699532304 has 135 divisors (see below), whose sum is σ = 6341454562989. Its totient is φ = 730035077760.

The previous prime is 2227699532299. The next prime is 2227699532309. The reversal of 2227699532304 is 4032359967222.

The square root of 2227699532304 is 1492548.

It is a perfect power (a square), and thus also a powerful number.

2227699532304 is a `hidden beast` number, since 2 + 2 + 2 + 76 + 9 + 9 + 532 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2227699532299) and next prime (2227699532309).

It can be written as a sum of positive squares in only one way, i.e., 72440645904 + 2155258886400 = 269148^2 + 1468080^2 .

It is not an unprimeable number, because it can be changed into a prime (2227699532309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1092544117 + ... + 1092546155.

Almost surely, 22227699532304 is an apocalyptic number.

2227699532304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2227699532304 is the 1492548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2227699532304

2227699532304 is an abundant number, since it is smaller than the sum of its proper divisors (4113755030685).

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

2227699532304 is an frugal number, since it uses more digits than its factorization.

2227699532304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2227699532304 in words is "two trillion, two hundred twenty-seven billion, six hundred ninety-nine million, five hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2039 2196 2928 3721 4078 4392 6117 7442 8156 8784 11163 12234 14884 16312 18351 22326 24468 29768 32624 33489 36702 44652 48936 59536 66978 73404 89304 97872 124379 133956 146808 178608 248758 267912 293616 373137 497516 535824 746274 995032 1119411 1492548 1990064 2238822 2985096 4157521 4477644 5970192 7587119 8315042 8955288 12472563 15174238 16630084 17910576 22761357 24945126 30348476 33260168 37417689 45522714 49890252 60696952 66520336 68284071 74835378 91045428 99780504 121393904 136568142 149670756 182090856 199561008 253608781 273136284 299341512 364181712 507217562 546272568 598683024 760826343 1014435124 1092545136 1521652686 2028870248 2282479029 3043305372 4057740496 4564958058 6086610744 9129916116 12173221488 15470135641 18259832232 30940271282 36519664464 46410406923 61880542564 92820813846 123761085128 139231220769 185641627692 247522170256 278462441538 371283255384 556924883076 742566510768 1113849766152 2227699532304