Search a number
-
+
214256042884 = 221321929372
BaseRepresentation
bin1100011110001010100…
…1111100001110000100
3202111000212112200212201
43013202221330032010
512002244021333014
6242232230324244
721323315213152
oct3074251741604
9674025480781
10214256042884
1182957a50224
1235635ab9684
13172869a8100
14a5275a83d2
15588ecd1e74
hex31e2a7c384

214256042884 has 81 divisors (see below), whose sum is σ = 428960229327. Its totient is φ = 93582822528.

The previous prime is 214256042873. The next prime is 214256042909. The reversal of 214256042884 is 488240652412.

The square root of 214256042884 is 462878.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140641500484 + 73614542400 = 375022^2 + 271320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228661264 + ... + 228662200.

Almost surely, 2214256042884 is an apocalyptic number.

214256042884 is the 462878-th square number.

It is an amenable number.

214256042884 is an abundant number, since it is smaller than the sum of its proper divisors (214704186443).

214256042884 is an equidigital number, since it uses as much as digits as its factorization.

214256042884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 214256042884 in words is "two hundred fourteen billion, two hundred fifty-six million, forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 676 722 937 988 1444 1874 3211 3748 4693 6422 9386 12181 12844 17803 18772 24362 35606 48724 61009 71212 122018 158353 231439 244036 316706 338257 462878 633412 676514 877969 925756 1353028 1755938 3008707 3511876 4397341 6017414 8794682 11413597 12034828 16681411 17589364 22827194 33362822 45654388 57165433 66725644 114330866 148376761 216858343 228661732 296753522 316946809 433716686 593507044 633893618 867433372 1267787236 2819158459 4120308517 5638316918 8240617034 11276633836 16481234068 53564010721 107128021442 214256042884