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200132320 = 25519431531
BaseRepresentation
bin10111110110111…
…00011011100000
3111221120202221011
423323130123200
5402213213240
631505310304
74650045103
oct1373343340
9457522834
10200132320
11a2a73413
1257035394
13326025bb
141c81873a
15128836ea
hexbedc6e0

200132320 has 96 divisors (see below), whose sum is σ = 509604480. Its totient is φ = 74027520.

The previous prime is 200132239. The next prime is 200132327. The reversal of 200132320 is 23231002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200132320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200132327) 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, 129955 + ... + 131485.

It is an arithmetic number, because the mean of its divisors is an integer number (5308380).

Almost surely, 2200132320 is an apocalyptic number.

200132320 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 200132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254802240).

200132320 is an abundant number, since it is smaller than the sum of its proper divisors (309472160).

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

200132320 is a wasteful number, since it uses less digits than its factorization.

200132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

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

The square root of 200132320 is about 14146.8130686738. The cubic root of 200132320 is about 584.9324878868.

Adding to 200132320 its reverse (23231002), we get a palindrome (223363322).

The spelling of 200132320 in words is "two hundred million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 76 80 86 95 152 160 172 190 215 304 344 380 430 608 688 760 817 860 1376 1520 1531 1634 1720 3040 3062 3268 3440 4085 6124 6536 6880 7655 8170 12248 13072 15310 16340 24496 26144 29089 30620 32680 48992 58178 61240 65360 65833 116356 122480 130720 131666 145445 232712 244960 263332 290890 329165 465424 526664 581780 658330 930848 1053328 1163560 1250827 1316660 2106656 2327120 2501654 2633320 4654240 5003308 5266640 6254135 10006616 10533280 12508270 20013232 25016540 40026464 50033080 100066160 200132320