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200240144 = 24131756629
BaseRepresentation
bin10111110111101…
…10110000010000
3111221210020211122
423323312300100
5402230141034
631511501412
74651004336
oct1373666020
9457706748
10200240144
11a3037425
1257087868
133263c6c0
141c845b56
15128a562e
hexbef6c10

200240144 has 40 divisors (see below), whose sum is σ = 442393560. Its totient is φ = 86980608.

The previous prime is 200240141. The next prime is 200240147. The reversal of 200240144 is 441042002.

It is an interprime number because it is at equal distance from previous prime (200240141) and next prime (200240147).

It can be written as a sum of positive squares in 4 ways, for example, as 16908544 + 183331600 = 4112^2 + 13540^2 .

It is a super-2 number, since 2×2002401442 = 80192230538281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (200240141) 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, 24779 + ... + 31850.

It is an arithmetic number, because the mean of its divisors is an integer number (11059839).

Almost surely, 2200240144 is an apocalyptic number.

It is an amenable number.

200240144 is an abundant number, since it is smaller than the sum of its proper divisors (242153416).

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

200240144 is a wasteful number, since it uses less digits than its factorization.

200240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56667 (or 56661 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 200240144 is about 14150.6234491629. The cubic root of 200240144 is about 585.0375157960.

Adding to 200240144 its reverse (441042002), we get a palindrome (641282146).

The spelling of 200240144 in words is "two hundred million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 56629 113258 226516 453032 736177 906064 962693 1472354 1925386 2944708 3850772 5889416 7701544 11778832 12515009 15403088 25030018 50060036 100120072 200240144