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4242244200 = 2335223307409
BaseRepresentation
bin1111110011011011…
…1000001001101000
3101221122112100000120
43330312320021220
532142003303300
61540542003240
7210061323615
oct37466701150
911848470016
104242244200
1118876aa947
129a4876520
13527b79b8c
142c35b150c
1519c6763a0
hexfcdb8268

4242244200 has 96 divisors (see below), whose sum is σ = 13722782400. Its totient is φ = 1082076160.

The previous prime is 4242244199. The next prime is 4242244229. The reversal of 4242244200 is 24422424.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 139905 + ... + 167504.

It is an arithmetic number, because the mean of its divisors is an integer number (142945650).

Almost surely, 24242244200 is an apocalyptic number.

4242244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242244200 is an abundant number, since it is smaller than the sum of its proper divisors (9480538200).

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

4242244200 is a wasteful number, since it uses less digits than its factorization.

4242244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307451 (or 307442 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4242244200 is about 65132.5126185072. The cubic root of 4242244200 is about 1618.8199759060.

Adding to 4242244200 its reverse (24422424), we get a palindrome (4266666624).

The spelling of 4242244200 in words is "four billion, two hundred forty-two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 307409 614818 922227 1229636 1537045 1844454 2459272 3074090 3688908 4611135 6148180 7070407 7377816 7685225 9222270 12296360 14140814 15370450 18444540 21211221 23055675 28281628 30740900 35352035 36889080 42422442 46111350 56563256 61481800 70704070 84844884 92222700 106056105 141408140 169689768 176760175 184445400 212112210 282816280 353520350 424224420 530280525 707040700 848448840 1060561050 1414081400 2121122100 4242244200