Search a number
-
+
214304899680 = 25325314800737
BaseRepresentation
bin1100011110010110010…
…0010100001001100000
3202111011021110212210200
43013211210110021200
512002344023242210
6242241133425200
721324450406614
oct3074544241140
9674137425720
10214304899680
1182982590043
123564a33b200
1317293b53061
14a52dc85344
1558942330c0
hex31e5914260

214304899680 has 144 divisors (see below), whose sum is σ = 754906449024. Its totient is φ = 55304478720.

The previous prime is 214304899667. The next prime is 214304899723. The reversal of 214304899680 is 86998403412.

214304899680 is a `hidden beast` number, since 2 + 1 + 430 + 48 + 9 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2355729 + ... + 2445008.

It is an arithmetic number, because the mean of its divisors is an integer number (5242405896).

Almost surely, 2214304899680 is an apocalyptic number.

214304899680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214304899680 is an abundant number, since it is smaller than the sum of its proper divisors (540601549344).

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

214304899680 is a wasteful number, since it uses less digits than its factorization.

214304899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800789 (or 4800778 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 214304899680 in words is "two hundred fourteen billion, three hundred four million, eight hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 4800737 9601474 14402211 19202948 24003685 28804422 38405896 43206633 48007370 57608844 72011055 76811792 86413266 96014740 115217688 144022110 148822847 153623584 172826532 192029480 216033165 230435376 288044220 297645694 345653064 384058960 432066330 446468541 460870752 576088440 595291388 691306128 744114235 768117920 864132660 892937082 1152176880 1190582776 1339405623 1382612256 1488228470 1728265320 1785874164 2232342705 2304353760 2381165552 2678811246 2976456940 3456530640 3571748328 4464685410 4762331104 5357622492 5952913880 6697028115 6913061280 7143496656 8929370820 10715244984 11905827760 13394056230 14286993312 17858741640 21430489968 23811655520 26788112460 35717483280 42860979936 53576224920 71434966560 107152449840 214304899680