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4222442420 = 225731712193
BaseRepresentation
bin1111101110101101…
…0101101110110100
3101220021021022002022
43323223111232310
532121421124140
61534553332312
7206431111520
oct37353255664
911807238068
104222442420
111877505539
1299a107098
13523a35a51
142c0ad8d80
1519aa640b5
hexfbad5bb4

4222442420 has 144 divisors (see below), whose sum is σ = 10665145344. Its totient is φ = 1374105600.

The previous prime is 4222442407. The next prime is 4222442423. The reversal of 4222442420 is 242442224.

It is a self number, because there is not a number n which added to its sum of digits gives 4222442420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222442423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21877844 + ... + 21878036.

Almost surely, 24222442420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332572672).

4222442420 is an abundant number, since it is smaller than the sum of its proper divisors (6442702924).

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

4222442420 is a wasteful number, since it uses less digits than its factorization.

4222442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4222442420 is about 64980.3233294510. The cubic root of 4222442420 is about 1616.2972920719.

Adding to 4222442420 its reverse (242442224), we get a palindrome (4464884644).

The spelling of 4222442420 in words is "four billion, two hundred twenty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 71 124 140 142 155 193 217 284 310 355 386 434 497 620 710 772 868 965 994 1085 1351 1420 1930 1988 2170 2201 2485 2702 3860 4340 4402 4970 5041 5404 5983 6755 8804 9940 10082 11005 11966 13510 13703 15407 20164 22010 23932 25205 27020 27406 29915 30814 35287 41881 44020 50410 54812 59830 61628 68515 70574 77035 83762 95921 100820 119660 137030 141148 154070 156271 167524 176435 191842 209405 274060 308140 312542 352870 383684 418810 424793 479605 625084 705740 781355 837620 849586 959210 972913 1093897 1562710 1699172 1918420 1945826 2123965 2187794 2973551 3125420 3891652 4247930 4375588 4864565 5469485 5947102 6810391 8495860 9729130 10938970 11894204 13620782 14867755 19458260 21877940 27241564 29735510 30160303 34051955 59471020 60320606 68103910 120641212 136207820 150801515 211122121 301603030 422244242 603206060 844488484 1055610605 2111221210 4222442420