Search a number
-
+
22103620 = 22571131463
BaseRepresentation
bin101010001010…
…0011001000100
31112120222110121
41110110121010
521124303440
62105431324
7355610020
oct124243104
945528417
1022103620
1111527860
12749b544
13476ba86
142d15380
151e1934a
hex1514644

22103620 has 96 divisors (see below), whose sum is σ = 59867136. Its totient is φ = 6652800.

The previous prime is 22103617. The next prime is 22103623. The reversal of 22103620 is 2630122.

It is an interprime number because it is at equal distance from previous prime (22103617) and next prime (22103623).

It is a junction number, because it is equal to n+sod(n) for n = 22103594 and 22103603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47509 + ... + 47971.

It is an arithmetic number, because the mean of its divisors is an integer number (623616).

Almost surely, 222103620 is an apocalyptic number.

22103620 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 22103620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933568).

22103620 is an abundant number, since it is smaller than the sum of its proper divisors (37763516).

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

22103620 is a wasteful number, since it uses less digits than its factorization.

22103620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 22103620 is about 4701.4487128969. The cubic root of 22103620 is about 280.6431643674.

Adding to 22103620 its reverse (2630122), we get a palindrome (24733742).

The spelling of 22103620 in words is "twenty-two million, one hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 463 620 682 770 868 926 1085 1364 1540 1705 1852 2170 2315 2387 3241 3410 4340 4630 4774 5093 6482 6820 9260 9548 10186 11935 12964 14353 16205 20372 23870 25465 28706 32410 35651 47740 50930 57412 64820 71302 71765 100471 101860 142604 143530 157883 178255 200942 287060 315766 356510 401884 502355 631532 713020 789415 1004710 1105181 1578830 2009420 2210362 3157660 4420724 5525905 11051810 22103620