Search a number
-
+
22223210420 = 22523733971667
BaseRepresentation
bin10100101100100110…
…110100011110110100
32010100202220001121102
4110230212310132310
5331003120213140
614113104305232
71414466112635
oct245446643664
963322801542
1022223210420
119474471a04
124382612218
132132174a68
14110b68588c
158a101ee15
hex52c9b47b4

22223210420 has 96 divisors (see below), whose sum is σ = 49518943488. Its totient is φ = 8360174592.

The previous prime is 22223210413. The next prime is 22223210447. The reversal of 22223210420 is 2401232222.

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

It is a junction number, because it is equal to n+sod(n) for n = 22223210392 and 22223210401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13330427 + ... + 13332093.

It is an arithmetic number, because the mean of its divisors is an integer number (515822328).

Almost surely, 222223210420 is an apocalyptic number.

22223210420 is a gapful number since it is divisible by the number (20) 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 22223210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24759471744).

22223210420 is an abundant number, since it is smaller than the sum of its proper divisors (27295733068).

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

22223210420 is a wasteful number, since it uses less digits than its factorization.

22223210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

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

Adding to 22223210420 its reverse (2401232222), we get a palindrome (24624442642).

The spelling of 22223210420 in words is "twenty-two billion, two hundred twenty-three million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 397 460 730 794 1460 1588 1667 1679 1985 3334 3358 3970 6668 6716 7940 8335 8395 9131 16670 16790 18262 28981 33340 33580 36524 38341 45655 57962 76682 91310 115924 121691 144905 153364 182620 191705 243382 289810 383410 486764 579620 608455 661799 666563 766820 1216910 1323598 1333126 2433820 2647196 2666252 2798893 3308995 3332815 5597786 6617990 6665630 11195572 13235980 13331260 13994465 15221377 27988930 30442754 48311327 55977860 60885508 76106885 96622654 152213770 193245308 241556635 304427540 483113270 966226540 1111160521 2222321042 4444642084 5555802605 11111605210 22223210420