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213796336 = 24133171467
BaseRepresentation
bin11001011111001…
…00010111110000
3112220021222102211
430233210113300
5414212440321
633114221504
75204144635
oct1457442760
9486258384
10213796336
11aa756396
125b724894
13353a7b10
142057418c
1513b820e1
hexcbe45f0

213796336 has 80 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 93945600.

The previous prime is 213796333. The next prime is 213796343. The reversal of 213796336 is 633697312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213796333) 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, 457575 + ... + 458041.

Almost surely, 2213796336 is an apocalyptic number.

213796336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213796336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

213796336 is an abundant number, since it is smaller than the sum of its proper divisors (254173712).

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

213796336 is a wasteful number, since it uses less digits than its factorization.

213796336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 122472, while the sum is 40.

The square root of 213796336 is about 14621.7760891076. The cubic root of 213796336 is about 597.9525918502.

The spelling of 213796336 in words is "two hundred thirteen million, seven hundred ninety-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 71 104 124 142 208 248 284 403 467 496 568 806 923 934 1136 1612 1846 1868 2201 3224 3692 3736 4402 6071 6448 7384 7472 8804 12142 14477 14768 17608 24284 28613 28954 33157 35216 48568 57226 57908 66314 97136 114452 115816 132628 188201 228904 231632 265256 376402 431041 457808 530512 752804 862082 1027867 1505608 1724164 2055734 3011216 3448328 4111468 6896656 8222936 13362271 16445872 26724542 53449084 106898168 213796336