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213763116 = 22372779187
BaseRepresentation
bin11001011110111…
…00010000101100
3112220020021212110
430233130100230
5414210404431
633113404020
75203646040
oct1457342054
9486207773
10213763116
11aa733436
125b709610
1335395968
1420566020
1513b77346
hexcbdc42c

213763116 has 48 divisors (see below), whose sum is σ = 572155136. Its totient is φ = 60848064.

The previous prime is 213763111. The next prime is 213763139. The reversal of 213763116 is 611367312.

213763116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213763111) 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, 18675 + ... + 27861.

Almost surely, 2213763116 is an apocalyptic number.

It is an amenable number.

213763116 is an abundant number, since it is smaller than the sum of its proper divisors (358392020).

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

213763116 is a wasteful number, since it uses less digits than its factorization.

213763116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 9476 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 213763116 is about 14620.6400680682. The cubic root of 213763116 is about 597.9216199848.

The spelling of 213763116 in words is "two hundred thirteen million, seven hundred sixty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 5817 7756 9187 11634 18374 23268 27561 36748 55122 64309 110244 128618 192927 257236 385854 771708 2544799 5089598 7634397 10179196 15268794 17813593 30537588 35627186 53440779 71254372 106881558 213763116