Search a number
-
+
200322320 = 245111911981
BaseRepresentation
bin10111111000010…
…10110100010000
3111221221102120012
423330022310100
5402240303240
631513334052
74651466042
oct1374126420
9457842505
10200322320
11a3093140
1257107328
133266ac23
141c867a92
15128beb65
hexbf0ad10

200322320 has 80 divisors (see below), whose sum is σ = 534876480. Its totient is φ = 69004800.

The previous prime is 200322281. The next prime is 200322361. The reversal of 200322320 is 23223002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 200322295 and 200322304.

It is an unprimeable number.

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, 10730 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (6685956).

Almost surely, 2200322320 is an apocalyptic number.

200322320 is a gapful number since it is divisible by the number (20) 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 200322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267438240).

200322320 is an abundant number, since it is smaller than the sum of its proper divisors (334554160).

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

200322320 is a wasteful number, since it uses less digits than its factorization.

200322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 200322320 is about 14153.5267689718. The cubic root of 200322320 is about 585.1175354945.

Adding to 200322320 its reverse (23223002), we get a palindrome (223545322).

The spelling of 200322320 in words is "two hundred million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 11981 16720 23962 47924 59905 95848 119810 131791 191696 227639 239620 263582 455278 479240 527164 658955 910556 958480 1054328 1138195 1317910 1821112 2108656 2276390 2504029 2635820 3642224 4552780 5008058 5271640 9105560 10016116 10543280 12520145 18211120 20032232 25040290 40064464 50080580 100161160 200322320