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4242223350 = 23252175310463
BaseRepresentation
bin1111110011011011…
…0011000011110110
3101221122111021102100
43330312303003312
532142002121400
61540541322530
7210061206051
oct37466630366
911848437370
104242223350
111887696212
129a4866446
13527b70541
142c35a7a98
1519c670100
hexfcdb30f6

4242223350 has 144 divisors (see below), whose sum is σ = 12296748672. Its totient is φ = 1044526080.

The previous prime is 4242223259. The next prime is 4242223379. The reversal of 4242223350 is 533222424.

It is a happy number.

4242223350 is a `hidden beast` number, since 4 + 2 + 422 + 233 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 400219 + ... + 410681.

It is an arithmetic number, because the mean of its divisors is an integer number (85394088).

Almost surely, 24242223350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242223350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148374336).

4242223350 is an abundant number, since it is smaller than the sum of its proper divisors (8054525322).

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

4242223350 is a wasteful number, since it uses less digits than its factorization.

4242223350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10551 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4242223350 is about 65132.3525599989. The cubic root of 4242223350 is about 1618.8173238151.

Adding to 4242223350 its reverse (533222424), we get a palindrome (4775445774).

The spelling of 4242223350 in words is "four billion, two hundred forty-two million, two hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 53 75 85 90 102 106 150 153 159 170 225 255 265 306 318 425 450 477 510 530 765 795 850 901 954 1275 1325 1530 1590 1802 2385 2550 2650 2703 3825 3975 4505 4770 5406 7650 7950 8109 9010 10463 11925 13515 16218 20926 22525 23850 27030 31389 40545 45050 52315 62778 67575 81090 94167 104630 135150 156945 177871 188334 202725 261575 313890 355742 405450 470835 523150 533613 554539 784725 889355 941670 1067226 1109078 1569450 1600839 1663617 1778710 2354175 2668065 2772695 3201678 3327234 4446775 4708350 4990851 5336130 5545390 8004195 8318085 8893550 9427163 9981702 13340325 13863475 16008390 16636170 18854326 24954255 26680650 27726950 28281489 40020975 41590425 47135815 49908510 56562978 80041950 83180850 84844467 94271630 124771275 141407445 169688934 235679075 249542550 282814890 424222335 471358150 707037225 848444670 1414074450 2121111675 4242223350