Search a number
-
+
2254200 = 2335213172
BaseRepresentation
bin1000100110010101111000
311020112011220
420212111320
51034113300
6120152040
725106004
oct10462570
94215156
102254200
1112aa683
12908620
1360c060
14429704
152e7da0
hex226578

2254200 has 144 divisors (see below), whose sum is σ = 7994280. Its totient is φ = 522240.

The previous prime is 2254177. The next prime is 2254201. The reversal of 2254200 is 24522.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2254200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254201) 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, 132592 + ... + 132608.

22254200 is an apocalyptic number.

2254200 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 2254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997140).

2254200 is an abundant number, since it is smaller than the sum of its proper divisors (5740080).

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

2254200 is a wasteful number, since it uses less digits than its factorization.

2254200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2254200 is about 1501.3993472757. The cubic root of 2254200 is about 131.1185532073.

Adding to 2254200 its reverse (24522), we get a palindrome (2278722).

The spelling of 2254200 in words is "two million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 25 26 30 34 39 40 50 51 52 60 65 68 75 78 85 100 102 104 120 130 136 150 156 170 195 200 204 221 255 260 289 300 312 325 340 390 408 425 442 510 520 578 600 650 663 680 780 850 867 884 975 1020 1105 1156 1275 1300 1326 1445 1560 1700 1734 1768 1950 2040 2210 2312 2550 2600 2652 2890 3315 3400 3468 3757 3900 4335 4420 5100 5304 5525 5780 6630 6936 7225 7514 7800 8670 8840 10200 11050 11271 11560 13260 14450 15028 16575 17340 18785 21675 22100 22542 26520 28900 30056 33150 34680 37570 43350 44200 45084 56355 57800 66300 75140 86700 90168 93925 112710 132600 150280 173400 187850 225420 281775 375700 450840 563550 751400 1127100 2254200