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211929696 = 2534117433
BaseRepresentation
bin11001010000111…
…00101001100000
3112202210010220000
430220130221200
5413223222241
633010220000
75152241556
oct1450345140
9482703800
10211929696
11a96a0a10
125ab84600
1334ba32b4
1420209bd6
1513913eb6
hexca1ca60

211929696 has 120 divisors (see below), whose sum is σ = 680032584. Its totient is φ = 64212480.

The previous prime is 211929649. The next prime is 211929749. The reversal of 211929696 is 696929112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24796 + ... + 32228.

Almost surely, 2211929696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211929696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340016292).

211929696 is an abundant number, since it is smaller than the sum of its proper divisors (468102888).

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

211929696 is a wasteful number, since it uses less digits than its factorization.

211929696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7449 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 211929696 is about 14557.8053291009. The cubic root of 211929696 is about 596.2072759229.

The spelling of 211929696 in words is "two hundred eleven million, nine hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 7433 9504 14256 14866 22299 28512 29732 44598 59464 66897 81763 89196 118928 133794 163526 178392 200691 237856 245289 267588 327052 356784 401382 490578 535176 602073 654104 713568 735867 802764 981156 1070352 1204146 1308208 1471734 1605528 1962312 2140704 2207601 2408292 2616416 2943468 3211056 3924624 4415202 4816584 5886936 6422112 6622803 7849248 8830404 9633168 11773872 13245606 17660808 19266336 23547744 26491212 35321616 52982424 70643232 105964848 211929696