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2244706240 = 26571002101
BaseRepresentation
bin1000010111001011…
…0111111111000000
312210102210220002011
42011302313333000
514044121044430
61010423502304
7106424455030
oct20562677700
95712726064
102244706240
11a52095027
125278b7994
1329a08535a
141741978c0
15d20ed22a
hex85cb7fc0

2244706240 has 56 divisors (see below), whose sum is σ = 6108813792. Its totient is φ = 769612800.

The previous prime is 2244706223. The next prime is 2244706259. The reversal of 2244706240 is 426074422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×22447062402 = 10077412207789875200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498811 + ... + 503290.

Almost surely, 22244706240 is an apocalyptic number.

2244706240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244706240 is an abundant number, since it is smaller than the sum of its proper divisors (3864107552).

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

2244706240 is a wasteful number, since it uses less digits than its factorization.

2244706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002125 (or 1002115 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 2244706240 is about 47378.3309119264. The cubic root of 2244706240 is about 1309.3422177927.

The spelling of 2244706240 in words is "two billion, two hundred forty-four million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1002101 2004202 4008404 5010505 7014707 8016808 10021010 14029414 16033616 20042020 28058828 32067232 35073535 40084040 56117656 64134464 70147070 80168080 112235312 140294140 160336160 224470624 280588280 320672320 448941248 561176560 1122353120 2244706240