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214521340584 = 23323556369859
BaseRepresentation
bin1100011111001001110…
…1111110001010101000
3202111201100202012220110
43013302131332022220
512003314430344314
6242314424454320
721333016210635
oct3076235761250
9674640665813
10214521340584
1182a83782321
12356aa91a3a0
13172c99457b5
14a55090718c
1558a8238a59
hex31f277e2a8

214521340584 has 64 divisors (see below), whose sum is σ = 559729497600. Its totient is φ = 68384834496.

The previous prime is 214521340547. The next prime is 214521340589. The reversal of 214521340584 is 485043125412.

214521340584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2145213405842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214521340589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3035847 + ... + 3105705.

It is an arithmetic number, because the mean of its divisors is an integer number (8745773400).

Almost surely, 2214521340584 is an apocalyptic number.

214521340584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214521340584 is an abundant number, since it is smaller than the sum of its proper divisors (345208157016).

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

214521340584 is a wasteful number, since it uses less digits than its factorization.

214521340584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75454 (or 75450 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 214521340584 its reverse (485043125412), we get a palindrome (699564465996).

The spelling of 214521340584 in words is "two hundred fourteen billion, five hundred twenty-one million, three hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 5563 11126 16689 22252 33378 44504 66756 69859 127949 133512 139718 209577 255898 279436 383847 419154 511796 558872 767694 838308 1023592 1535388 1606757 1676616 3070776 3213514 4820271 6427028 9640542 12854056 19281084 38562168 388625617 777251234 1165876851 1554502468 2331753702 3109004936 4663507404 8938389191 9327014808 17876778382 26815167573 35753556764 53630335146 71507113528 107260670292 214521340584