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213169704 = 233112335107
BaseRepresentation
bin11001011010010…
…11011000101000
3112212010010212020
430231023120220
5414032412304
633052544440
75165625006
oct1455133050
9485103766
10213169704
11aa368610
125b482120
1335218827
142044da76
1513aab5d9
hexcb4b628

213169704 has 64 divisors (see below), whose sum is σ = 606666240. Its totient is φ = 61786560.

The previous prime is 213169703. The next prime is 213169739. The reversal of 213169704 is 407961312.

213169704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (213169703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11482 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (9479160).

Almost surely, 2213169704 is an apocalyptic number.

213169704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213169704 is an abundant number, since it is smaller than the sum of its proper divisors (393496536).

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

213169704 is a wasteful number, since it uses less digits than its factorization.

213169704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35150 (or 35146 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 213169704 is about 14600.3323249849. The cubic root of 213169704 is about 597.3678252010.

The spelling of 213169704 in words is "two hundred thirteen million, one hundred sixty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 35107 70214 105321 140428 210642 280856 386177 421284 772354 807461 842568 1158531 1544708 1614922 2317062 2422383 3089416 3229844 4634124 4844766 6459688 8882071 9268248 9689532 17764142 19379064 26646213 35528284 53292426 71056568 106584852 213169704