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200256464 = 24174117957
BaseRepresentation
bin10111110111110…
…10101111010000
3111221211002020002
423323322233100
5402231201324
631512105132
74651103042
oct1373725720
9457732202
10200256464
11a3048711
12570951a8
1332646c65
141c84ba92
15128aa3ae
hexbefabd0

200256464 has 40 divisors (see below), whose sum is σ = 420863688. Its totient is φ = 91934720.

The previous prime is 200256451. The next prime is 200256467. The reversal of 200256464 is 464652002.

200256464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72114064 + 128142400 = 8492^2 + 11320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200256467) 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, 2174 + ... + 20130.

Almost surely, 2200256464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210431844).

200256464 is an abundant number, since it is smaller than the sum of its proper divisors (220607224).

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

200256464 is a wasteful number, since it uses less digits than its factorization.

200256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18023 (or 18017 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 200256464 is about 14151.2000904517. The cubic root of 200256464 is about 585.0534093005.

The spelling of 200256464 in words is "two hundred million, two hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 17957 35914 71828 143656 287312 305269 610538 736237 1221076 1472474 2442152 2944948 4884304 5889896 11779792 12516029 25032058 50064116 100128232 200256464