Search a number
-
+
2253300 = 2235272937
BaseRepresentation
bin1000100110000111110100
311020110221120
420212013310
51034101200
6120143540
725103250
oct10460764
94213846
102253300
1112a9a35
12907bb0
1360b81a
14429260
152e79a0
hex2261f4

2253300 has 144 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 483840.

The previous prime is 2253289. The next prime is 2253311. The reversal of 2253300 is 33522.

It is an interprime number because it is at equal distance from previous prime (2253289) and next prime (2253311).

It is a Harshad number since it is a multiple of its sum of digits (15).

2253300 is a Rhonda number in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2253300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60882 + ... + 60918.

22253300 is an apocalyptic number.

2253300 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 2253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2253300 is an abundant number, since it is smaller than the sum of its proper divisors (5662860).

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

2253300 is a wasteful number, since it uses less digits than its factorization.

2253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2253300 is about 1501.0995969622. The cubic root of 2253300 is about 131.1011009839.

Adding to 2253300 its reverse (33522), we get a palindrome (2286822).

The spelling of 2253300 in words is "two million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 37 42 50 58 60 70 74 75 84 87 100 105 111 116 140 145 148 150 174 175 185 203 210 222 259 290 300 348 350 370 406 420 435 444 518 525 555 580 609 700 725 740 777 812 870 925 1015 1036 1050 1073 1110 1218 1295 1450 1554 1740 1850 2030 2100 2146 2175 2220 2436 2590 2775 2900 3045 3108 3219 3700 3885 4060 4292 4350 5075 5180 5365 5550 6090 6438 6475 7511 7770 8700 10150 10730 11100 12180 12876 12950 15022 15225 15540 16095 19425 20300 21460 22533 25900 26825 30044 30450 32190 37555 38850 45066 53650 60900 64380 75110 77700 80475 90132 107300 112665 150220 160950 187775 225330 321900 375550 450660 563325 751100 1126650 2253300