Search a number
-
+
211422314304 = 2632596221231
BaseRepresentation
bin1100010011100111000…
…0000111111101000000
3202012201101101101001100
43010321300013331000
511430443103024204
6241043121534400
721163146006615
oct3047160077500
9665641341040
10211422314304
1181733425a83
1234b84aa4400
1316c2489ba36
14a3390c450c
155776133a39
hex3139c07f40

211422314304 has 84 divisors (see below), whose sum is σ = 616275241920. Its totient is φ = 69279617280.

The previous prime is 211422314303. The next prime is 211422314309. The reversal of 211422314304 is 403413224112.

211422314304 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 223 + 1 + 430 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211422314303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3076632 + ... + 3144599.

Almost surely, 2211422314304 is an apocalyptic number.

211422314304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211422314304 is an abundant number, since it is smaller than the sum of its proper divisors (404852927616).

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

211422314304 is a wasteful number, since it uses less digits than its factorization.

211422314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221308 (or 6221295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211422314304 its reverse (403413224112), we get a palindrome (614835538416).

The spelling of 211422314304 in words is "two hundred eleven billion, four hundred twenty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 6221231 12442462 18663693 24884924 37327386 49769848 55991079 74654772 99539696 111982158 149309544 199079392 223964316 298619088 367052629 398158784 447928632 597238176 734105258 895857264 1101157887 1194476352 1468210516 1791714528 2202315774 2936421032 3303473661 3583429056 4404631548 5872842064 6606947322 8809263096 11745684128 13213894644 17618526192 23491368256 26427789288 35237052384 52855578576 70474104768 105711157152 211422314304