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2247968 = 2570249
BaseRepresentation
bin1000100100110100100000
311020012122002
420210310200
51033413333
6120103132
725051562
oct10446440
94205562
102247968
1112a5a28
12904aa8
13609278
14427332
152e60e8
hex224d20

2247968 has 12 divisors (see below), whose sum is σ = 4425750. Its totient is φ = 1123968.

The previous prime is 2247953. The next prime is 2247977. The reversal of 2247968 is 8697422.

It can be written as a sum of positive squares in only one way, i.e., 2226064 + 21904 = 1492^2 + 148^2 .

It is a d-powerful number, because it can be written as 27 + 221 + 44 + 76 + 9 + 6 + 85 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35093 + ... + 35156.

22247968 is an apocalyptic number.

It is an amenable number.

2247968 is a deficient number, since it is larger than the sum of its proper divisors (2177782).

2247968 is an equidigital number, since it uses as much as digits as its factorization.

2247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70259 (or 70251 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2247968 is about 1499.3225136708. The cubic root of 2247968 is about 130.9976108183.

It can be divided in two parts, 224 and 7968, that added together give a 13-th power (8192 = 213).

The spelling of 2247968 in words is "two million, two hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 70249 140498 280996 561992 1123984 2247968