[go: up one dir, main page]

Search a number
-
+
22503780 = 223251359163
BaseRepresentation
bin101010111011…
…0000101100100
31120100022101100
41111312011210
521230110110
62122200100
7362164455
oct125660544
946308340
1022503780
1111780472
127653030
13487bc60
142dbb12c
151e97bc0
hex1576164

22503780 has 144 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 5412096.

The previous prime is 22503779. The next prime is 22503781. The reversal of 22503780 is 8730522.

It is an interprime number because it is at equal distance from previous prime (22503779) and next prime (22503781).

It is a super-2 number, since 2×225037802 = 1012840228576800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22503781) 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, 137979 + ... + 138141.

It is an arithmetic number, because the mean of its divisors is an integer number (522340).

Almost surely, 222503780 is an apocalyptic number.

22503780 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 22503780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480).

22503780 is an abundant number, since it is smaller than the sum of its proper divisors (52713180).

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

22503780 is a wasteful number, since it uses less digits than its factorization.

22503780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22503780 is about 4743.8149205044. The cubic root of 22503780 is about 282.3266171843.

The spelling of 22503780 in words is "twenty-two million, five hundred three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 163 177 180 195 234 236 260 295 326 354 390 468 489 531 585 590 652 708 767 780 815 885 978 1062 1170 1180 1467 1534 1630 1770 1956 2119 2124 2301 2340 2445 2655 2934 3068 3260 3540 3835 4238 4602 4890 5310 5868 6357 6903 7335 7670 8476 9204 9617 9780 10595 10620 11505 12714 13806 14670 15340 19071 19234 21190 23010 25428 27612 28851 29340 31785 34515 38142 38468 42380 46020 48085 57702 63570 69030 76284 86553 95355 96170 115404 125021 127140 138060 144255 173106 190710 192340 250042 288510 346212 375063 381420 432765 500084 577020 625105 750126 865530 1125189 1250210 1500252 1731060 1875315 2250378 2500420 3750630 4500756 5625945 7501260 11251890 22503780