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214324930680 = 23357255148727
BaseRepresentation
bin1100011110011011000…
…0101110100001111000
3202111012200011120011120
43013212300232201320
512002414140240210
6242243131025240
721325112565210
oct3074660564170
9674180146146
10214324930680
1182992921693
1235654b9b220
1317298047613
14a5327bb240
155895d8d270
hex31e6c2e878

214324930680 has 64 divisors (see below), whose sum is σ = 734828336640. Its totient is φ = 48988555392.

The previous prime is 214324930669. The next prime is 214324930691. The reversal of 214324930680 is 86039423412.

214324930680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214324930669) and next prime (214324930691).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127573524 + ... + 127575203.

It is an arithmetic number, because the mean of its divisors is an integer number (11481692760).

Almost surely, 2214324930680 is an apocalyptic number.

214324930680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214324930680 is an abundant number, since it is smaller than the sum of its proper divisors (520503405960).

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

214324930680 is a wasteful number, since it uses less digits than its factorization.

214324930680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255148748 (or 255148744 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 214324930680 in words is "two hundred fourteen billion, three hundred twenty-four million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 255148727 510297454 765446181 1020594908 1275743635 1530892362 1786041089 2041189816 2551487270 3061784724 3572082178 3827230905 5102974540 5358123267 6123569448 7144164356 7654461810 8930205445 10205949080 10716246534 14288328712 15308923620 17860410890 21432493068 26790616335 30617847240 35720821780 42864986136 53581232670 71441643560 107162465340 214324930680