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214304046460 = 225717194739143
BaseRepresentation
bin1100011110010110000…
…1000011110101111100
3202111011012212112101221
43013211201003311330
512002343313441320
6242241103243124
721324440224240
oct3074541036574
9674135775357
10214304046460
1182982057aa9
1235649ba94a4
13172939148aa
14a52db02420
1558941153aa
hex31e5843d7c

214304046460 has 96 divisors (see below), whose sum is σ = 573246858240. Its totient is φ = 65513899008.

The previous prime is 214304046391. The next prime is 214304046491. The reversal of 214304046460 is 64640403412.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2324352 + ... + 2414791.

It is an arithmetic number, because the mean of its divisors is an integer number (5971321440).

Almost surely, 2214304046460 is an apocalyptic number.

214304046460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214304046460 is an abundant number, since it is smaller than the sum of its proper divisors (358942811780).

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

214304046460 is a wasteful number, since it uses less digits than its factorization.

214304046460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739195 (or 4739193 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 214304046460 its reverse (64640403412), we get a palindrome (278944449872).

The spelling of 214304046460 in words is "two hundred fourteen billion, three hundred four million, forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 532 595 646 665 1190 1292 1330 1615 2261 2380 2660 3230 4522 6460 9044 11305 22610 45220 4739143 9478286 18956572 23695715 33174001 47391430 66348002 80565431 90043717 94782860 132696004 161130862 165870005 180087434 322261724 331740010 360174868 402827155 450218585 563958017 630306019 663480020 805654310 900437170 1127916034 1260612038 1530743189 1611308620 1800874340 2255832068 2521224076 2819790085 3061486378 3151530095 5639580170 6122972756 6303060190 7653715945 10715202323 11279160340 12606120380 15307431890 21430404646 30614863780 42860809292 53576011615 107152023230 214304046460