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214828668 = 223219314077
BaseRepresentation
bin11001100111000…
…00011001111100
3112222020102112100
430303200121330
5414444004133
633152305100
75216004435
oct1463403174
9488212470
10214828668
111002a0a5a
125bb42190
1335679972
142076248c
1513cd7e13
hexcce067c

214828668 has 36 divisors (see below), whose sum is σ = 571621960. Its totient is φ = 67840416.

The previous prime is 214828661. The next prime is 214828709. The reversal of 214828668 is 866828412.

214828668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214828661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156355 + ... + 157722.

Almost surely, 2214828668 is an apocalyptic number.

It is an amenable number.

214828668 is an abundant number, since it is smaller than the sum of its proper divisors (356793292).

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

214828668 is a wasteful number, since it uses less digits than its factorization.

214828668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314106 (or 314101 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 214828668 is about 14657.0347615062. The cubic root of 214828668 is about 598.9134669308.

It can be divided in two parts, 214828 and 668, that added together give a triangular number (215496 = T656).

The spelling of 214828668 in words is "two hundred fourteen million, eight hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 314077 628154 942231 1256308 1884462 2826693 3768924 5653386 5967463 11306772 11934926 17902389 23869852 35804778 53707167 71609556 107414334 214828668