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214344350532 = 223213617508209
BaseRepresentation
bin1100011110011111101…
…0110011101101000100
3202111021000201012012100
43013213322303231010
512002434123204112
6242245103152100
721325436626644
oct3074772635504
9674230635170
10214344350532
11829a2886054
123565b5a5630
131729c086960
14a5351d4524
1558979272dc
hex31e7eb3b44

214344350532 has 72 divisors (see below), whose sum is σ = 593058491480. Its totient is φ = 64870917120.

The previous prime is 214344350531. The next prime is 214344350557. The reversal of 214344350532 is 235053443412.

214344350532 is a `hidden beast` number, since 2 + 1 + 4 + 34 + 43 + 50 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 878173956 + 213466176576 = 29634^2 + 462024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214344350531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3725557 + ... + 3782652.

Almost surely, 2214344350532 is an apocalyptic number.

It is an amenable number.

214344350532 is an abundant number, since it is smaller than the sum of its proper divisors (378714140948).

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

214344350532 is a wasteful number, since it uses less digits than its factorization.

214344350532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7508293 (or 7508288 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 214344350532 its reverse (235053443412), we get a palindrome (449397793944).

The spelling of 214344350532 in words is "two hundred fourteen billion, three hundred forty-four million, three hundred fifty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 9516 14274 28548 7508209 15016418 22524627 30032836 45049254 67573881 90098508 97606717 135147762 195213434 270295524 292820151 390426868 458000749 585640302 878460453 916001498 1171280604 1374002247 1756920906 1832002996 2748004494 3513841812 4122006741 5496008988 5954009737 8244013482 11908019474 16488026964 17862029211 23816038948 35724058422 53586087633 71448116844 107172175266 214344350532