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4244213000 = 2353231271453
BaseRepresentation
bin1111110011111001…
…1000110100001000
3101221210020100201002
43330332120310020
532143004304000
61541052114132
7210114133556
oct37476306410
911853210632
104244213000
111888825055
129a5465948
135283b9051
142c3964bd6
1519c9148d5
hexfcf98d08

4244213000 has 128 divisors (see below), whose sum is σ = 10452049920. Its totient is φ = 1609977600.

The previous prime is 4244212997. The next prime is 4244213003. The reversal of 4244213000 is 3124424.

It is an interprime number because it is at equal distance from previous prime (4244212997) and next prime (4244213003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4244213003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2920274 + ... + 2921726.

It is an arithmetic number, because the mean of its divisors is an integer number (81656640).

Almost surely, 24244213000 is an apocalyptic number.

4244213000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226024960).

4244213000 is an abundant number, since it is smaller than the sum of its proper divisors (6207836920).

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

4244213000 is a wasteful number, since it uses less digits than its factorization.

4244213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4244213000 is about 65147.6246689010. The cubic root of 4244213000 is about 1619.0703653777.

Adding to 4244213000 its reverse (3124424), we get a palindrome (4247337424).

The spelling of 4244213000 in words is "four billion, two hundred forty-four million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 127 184 200 230 250 254 460 500 508 575 635 920 1000 1016 1150 1270 1453 2300 2540 2875 2906 2921 3175 4600 5080 5750 5812 5842 6350 7265 11500 11624 11684 12700 14530 14605 15875 23000 23368 25400 29060 29210 31750 33419 36325 58120 58420 63500 66838 72650 73025 116840 127000 133676 145300 146050 167095 181625 184531 267352 290600 292100 334190 363250 365125 369062 584200 668380 726500 730250 738124 835475 922655 1336760 1453000 1460500 1476248 1670950 1845310 2921000 3341900 3690620 4177375 4244213 4613275 6683800 7381240 8354750 8488426 9226550 16709500 16976852 18453100 21221065 23066375 33419000 33953704 36906200 42442130 46132750 84884260 92265500 106105325 169768520 184531000 212210650 424421300 530526625 848842600 1061053250 2122106500 4244213000