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2243431200 = 25352934763
BaseRepresentation
bin1000010110111000…
…0000101100100000
312210100102010001110
42011232000230200
514043304244300
61010340303320
7106410564513
oct20556005440
95710363043
102243431200
11a513a407a
125273a1b40
13299a29baa
14173d44d7a
15d1e4a550
hex85b80b20

2243431200 has 72 divisors (see below), whose sum is σ = 7302376368. Its totient is φ = 598247680.

The previous prime is 2243431193. The next prime is 2243431207. The reversal of 2243431200 is 21343422.

It is an interprime number because it is at equal distance from previous prime (2243431193) and next prime (2243431207).

It is not an unprimeable number, because it can be changed into a prime (2243431207) 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 in 11 ways as a sum of consecutive naturals, for example, 464982 + ... + 469781.

It is an arithmetic number, because the mean of its divisors is an integer number (101421894).

Almost surely, 22243431200 is an apocalyptic number.

2243431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243431200 is an abundant number, since it is smaller than the sum of its proper divisors (5058945168).

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

2243431200 is a wasteful number, since it uses less digits than its factorization.

2243431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934786 (or 934773 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2243431200 is about 47364.8730601065. The cubic root of 2243431200 is about 1309.0942596014.

Adding to 2243431200 its reverse (21343422), we get a palindrome (2264774622).

The spelling of 2243431200 in words is "two billion, two hundred forty-three million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 934763 1869526 2804289 3739052 4673815 5608578 7478104 9347630 11217156 14021445 14956208 18695260 22434312 23369075 28042890 29912416 37390520 44868624 46738150 56085780 70107225 74781040 89737248 93476300 112171560 140214450 149562080 186952600 224343120 280428900 373905200 448686240 560857800 747810400 1121715600 2243431200