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200432320 = 2651156941
BaseRepresentation
bin10111111001001…
…01101011000000
3111222011000110021
423330211223000
5402302313240
631515543224
74652434534
oct1374455300
9458130407
10200432320
11a3158850
125715ab14
13326a900a
141c895bc4
15128e254a
hexbf25ac0

200432320 has 56 divisors (see below), whose sum is σ = 520677648. Its totient is φ = 72883200.

The previous prime is 200432317. The next prime is 200432321. The reversal of 200432320 is 23234002.

200432320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004323202 = 80346229801164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200432294 and 200432303.

It is not an unprimeable number, because it can be changed into a prime (200432321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24951 + ... + 31990.

Almost surely, 2200432320 is an apocalyptic number.

200432320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200432320 is an abundant number, since it is smaller than the sum of its proper divisors (320245328).

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

200432320 is a wasteful number, since it uses less digits than its factorization.

200432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56969 (or 56959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 200432320 is about 14157.4121929115. The cubic root of 200432320 is about 585.2246148447.

Adding to 200432320 its reverse (23234002), we get a palindrome (223666322).

The spelling of 200432320 in words is "two hundred million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 56941 113882 227764 284705 455528 569410 626351 911056 1138820 1252702 1822112 2277640 2505404 3131755 3644224 4555280 5010808 6263510 9110560 10021616 12527020 18221120 20043232 25054040 40086464 50108080 100216160 200432320