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200440272 = 24319271811
BaseRepresentation
bin10111111001001…
…11100111010000
3111222011102100210
423330213213100
5402303042042
631520044120
74652466654
oct1374474720
9458142323
10200440272
11a316381a
1257163640
13326ac816
141c898a64
15128e4a9c
hexbf279d0

200440272 has 80 divisors (see below), whose sum is σ = 547742720. Its totient is φ = 62985600.

The previous prime is 200440259. The next prime is 200440283. The reversal of 200440272 is 272044002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246747 + ... + 247557.

It is an arithmetic number, because the mean of its divisors is an integer number (6846784).

Almost surely, 2200440272 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 200440272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273871360).

200440272 is an abundant number, since it is smaller than the sum of its proper divisors (347302448).

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

200440272 is a wasteful number, since it uses less digits than its factorization.

200440272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 200440272 is about 14157.6930324117. The cubic root of 200440272 is about 585.2323541897.

Adding to 200440272 its reverse (272044002), we get a palindrome (472484274).

The spelling of 200440272 in words is "two hundred million, four hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 271 304 456 542 811 813 912 1084 1622 1626 2168 2433 3244 3252 4336 4866 5149 6488 6504 9732 10298 12976 13008 15409 15447 19464 20596 30818 30894 38928 41192 46227 61636 61788 82384 92454 123272 123576 184908 219781 246544 247152 369816 439562 659343 739632 879124 1318686 1758248 2637372 3516496 4175839 5274744 8351678 10549488 12527517 16703356 25055034 33406712 50110068 66813424 100220136 200440272