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213126944 = 256660217
BaseRepresentation
bin11001011010000…
…00111100100000
3112212000222012112
430231000330200
5414030030234
633052014452
75165356232
oct1455007440
9485028175
10213126944
11aa339478
125b461428
1335202224
142043c252
1513a9dace
hexcb40f20

213126944 has 12 divisors (see below), whose sum is σ = 419593734. Its totient is φ = 106563456.

The previous prime is 213126941. The next prime is 213126961. The reversal of 213126944 is 449621312.

It can be written as a sum of positive squares in only one way, i.e., 124992400 + 88134544 = 11180^2 + 9388^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 6660217 = 213126944 / (2 + 1 + 3 + 1 + 2 + 6 + 9 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 213126944.

It is not an unprimeable number, because it can be changed into a prime (213126941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3330077 + ... + 3330140.

Almost surely, 2213126944 is an apocalyptic number.

It is an amenable number.

213126944 is a deficient number, since it is larger than the sum of its proper divisors (206466790).

213126944 is an equidigital number, since it uses as much as digits as its factorization.

213126944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660227 (or 6660219 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 213126944 is about 14598.8679013134. The cubic root of 213126944 is about 597.3278802560.

The spelling of 213126944 in words is "two hundred thirteen million, one hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 6660217 13320434 26640868 53281736 106563472 213126944