Search a number
-
+
4222680 = 2335711457
BaseRepresentation
bin10000000110111011011000
321221112102120
4100012323120
52040111210
6230301240
750615010
oct20067330
97845376
104222680
112424620
1214b7820
13b4b037
147bcc40
15586270
hex406ed8

4222680 has 128 divisors (see below), whose sum is σ = 15828480. Its totient is φ = 875520.

The previous prime is 4222679. The next prime is 4222703. The reversal of 4222680 is 862224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4222680.

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, 9012 + ... + 9468.

It is an arithmetic number, because the mean of its divisors is an integer number (123660).

Almost surely, 24222680 is an apocalyptic number.

4222680 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 4222680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914240).

4222680 is an abundant number, since it is smaller than the sum of its proper divisors (11605800).

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

4222680 is a wasteful number, since it uses less digits than its factorization.

4222680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4222680 is about 2054.9160566797. The cubic root of 4222680 is about 161.6327605705.

It can be divided in two parts, 42 and 22680, that added together give a palindrome (22722).

The spelling of 4222680 in words is "four million, two hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 457 462 616 660 770 840 914 924 1155 1320 1371 1540 1828 1848 2285 2310 2742 3080 3199 3656 4570 4620 5027 5484 6398 6855 9140 9240 9597 10054 10968 12796 13710 15081 15995 18280 19194 20108 25135 25592 27420 30162 31990 35189 38388 40216 47985 50270 54840 60324 63980 70378 75405 76776 95970 100540 105567 120648 127960 140756 150810 175945 191940 201080 211134 281512 301620 351890 383880 422268 527835 603240 703780 844536 1055670 1407560 2111340 4222680