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209939968 = 297193083
BaseRepresentation
bin11001000001101…
…10111000000000
3112122001001111101
430200312320000
5412221034333
632455424144
75126313610
oct1440667000
9478031441
10209939968
11a8562007
125a385054
1334657744
141dc4ca40
151366e67d
hexc836e00

209939968 has 80 divisors (see below), whose sum is σ = 504789120. Its totient is φ = 85211136.

The previous prime is 209939921. The next prime is 209940041. The reversal of 209939968 is 869939902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66555 + ... + 69637.

It is an arithmetic number, because the mean of its divisors is an integer number (6309864).

Almost surely, 2209939968 is an apocalyptic number.

209939968 is a gapful number since it is divisible by the number (28) 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 209939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252394560).

209939968 is an abundant number, since it is smaller than the sum of its proper divisors (294849152).

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

209939968 is an equidigital number, since it uses as much as digits as its factorization.

209939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 55.

The square root of 209939968 is about 14489.3052973564. The cubic root of 209939968 is about 594.3355509065.

The spelling of 209939968 in words is "two hundred nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1792 2128 2432 3083 3584 4256 4864 6166 8512 9728 12332 17024 21581 24664 34048 43162 49328 58577 68096 86324 98656 117154 172648 197312 234308 345296 394624 410039 468616 690592 789248 820078 937232 1381184 1578496 1640156 1874464 2762368 3280312 3748928 5524736 6560624 7497856 11049472 13121248 14995712 26242496 29991424 52484992 104969984 209939968