Search a number
-
+
2253020 = 2257211219
BaseRepresentation
bin1000100110000011011100
311020110120012
420212003130
51034044040
6120142352
725102400
oct10460334
94213505
102253020
1112a9800
129079b8
1360b663
14429100
152e7865
hex2260dc

2253020 has 108 divisors (see below), whose sum is σ = 6368040. Its totient is φ = 665280.

The previous prime is 2252983. The next prime is 2253023. The reversal of 2253020 is 203522.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2252986 and 2253004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118571 + ... + 118589.

22253020 is an apocalyptic number.

2253020 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 2253020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184020).

2253020 is an abundant number, since it is smaller than the sum of its proper divisors (4115020).

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

2253020 is a wasteful number, since it uses less digits than its factorization.

2253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2253020 is about 1501.0063291006. The cubic root of 2253020 is about 131.0956704555.

Adding to 2253020 its reverse (203522), we get a palindrome (2456542).

The spelling of 2253020 in words is "two million, two hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 49 55 70 76 77 95 98 110 121 133 140 154 190 196 209 220 242 245 266 308 380 385 418 484 490 532 539 605 665 770 836 847 931 980 1045 1078 1210 1330 1463 1540 1694 1862 2090 2156 2299 2420 2660 2695 2926 3388 3724 4180 4235 4598 4655 5390 5852 5929 7315 8470 9196 9310 10241 10780 11495 11858 14630 16093 16940 18620 20482 22990 23716 29260 29645 32186 40964 45980 51205 59290 64372 80465 102410 112651 118580 160930 204820 225302 321860 450604 563255 1126510 2253020