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200312320 = 295132463
BaseRepresentation
bin10111111000010…
…00011000000000
3111221220220211211
423330020120000
5402234443240
631513215504
74651424635
oct1374103000
9457826754
10200312320
11a308667a
1257101594
1332666500
141c86418c
15128bbbea
hexbf08600

200312320 has 120 divisors (see below), whose sum is σ = 521189856. Its totient is φ = 73801728.

The previous prime is 200312311. The next prime is 200312323. The reversal of 200312320 is 23213002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 200312320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200312323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432409 + ... + 432871.

Almost surely, 2200312320 is an apocalyptic number.

200312320 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 200312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260594928).

200312320 is an abundant number, since it is smaller than the sum of its proper divisors (320877536).

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

200312320 is an equidigital number, since it uses as much as digits as its factorization.

200312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 200312320 is about 14153.1734957217. The cubic root of 200312320 is about 585.1077990645.

Adding to 200312320 its reverse (23213002), we get a palindrome (223525322).

The spelling of 200312320 in words is "two hundred million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 256 260 320 338 416 463 512 520 640 676 832 845 926 1040 1280 1352 1664 1690 1852 2080 2315 2560 2704 3328 3380 3704 4160 4630 5408 6019 6656 6760 7408 8320 9260 10816 12038 13520 14816 16640 18520 21632 24076 27040 29632 30095 33280 37040 43264 48152 54080 59264 60190 74080 78247 86528 96304 108160 118528 120380 148160 156494 192608 216320 237056 240760 296320 312988 385216 391235 432640 481520 592640 625976 770432 782470 963040 1185280 1251952 1540864 1564940 1926080 2503904 3081728 3129880 3852160 5007808 6259760 7704320 10015616 12519520 15408640 20031232 25039040 40062464 50078080 100156160 200312320