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214773852969 = 341321722332
BaseRepresentation
bin1100100000000110000…
…1001110101100101001
3202112100221220011210000
43020001201032230221
512004324101243334
6242355445013213
721342203425434
oct3100141165451
9675327804700
10214773852969
11830a3271645
123575b3b4209
131733a057900
14a57627881b
1558c04b7299
hex320184eb29

214773852969 has 135 divisors (see below), whose sum is σ = 370641956223. Its totient is φ = 123860026368.

The previous prime is 214773852967. The next prime is 214773853039. The reversal of 214773852969 is 969258377412.

The square root of 214773852969 is 463437.

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

214773852969 is a `hidden beast` number, since 2 + 1 + 4 + 77 + 38 + 529 + 6 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 186351939225 + 28421913744 = 431685^2 + 168588^2 .

It is not a de Polignac number, because 214773852969 - 21 = 214773852967 is a prime.

It is a super-2 number, since 2×2147738529692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214773852967) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 921776077 + ... + 921776309.

Almost surely, 2214773852969 is an apocalyptic number.

214773852969 is the 463437-th square number.

214773852969 is the 231719-th centered octagonal number.

It is an amenable number.

214773852969 is a deficient number, since it is larger than the sum of its proper divisors (155868103254).

214773852969 is an equidigital number, since it uses as much as digits as its factorization.

214773852969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 266 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 214773852969 in words is "two hundred fourteen billion, seven hundred seventy-three million, eight hundred fifty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 233 289 351 459 507 663 699 867 1053 1377 1521 1989 2097 2601 2873 3029 3757 3961 4563 5967 6291 7803 8619 9087 11271 11883 13689 17901 18873 23409 25857 27261 33813 35649 39377 48841 51493 54289 67337 77571 81783 101439 106947 118131 146523 154479 162867 202011 232713 245349 304317 320841 354393 439569 463437 488601 606033 669409 705757 875381 922913 1063179 1318707 1390311 1465803 1818099 2008227 2117271 2626143 2768739 3189537 3956121 4170933 4397409 5454297 6024681 6351813 7878429 8306217 9174841 11379953 11997869 15689521 18074043 19055439 23635287 24918651 27524523 34139859 35993607 47068563 54222129 57166317 70905861 74755953 82573569 102419577 107980821 141205689 155972297 203963773 247720707 307258731 323942463 423617067 467916891 611891319 743162121 921776193 971827389 1270851201 1403750673 1835673957 2651529049 4211252019 5507021871 7954587147 12633756057 16521065613 23863761441 71591284323 214773852969