Search a number
-
+
2266068400 = 245217931649
BaseRepresentation
bin1000011100010001…
…0111010110110000
312211221000012110021
42013010113112300
514120103142100
61012505413224
7110104156261
oct20704272660
95757005407
102266068400
11a63155802
12532a9a214
132a162479b
14176d58968
15d3e1ca1a
hex871175b0

2266068400 has 60 divisors (see below), whose sum is σ = 5474817000. Its totient is φ = 901335040.

The previous prime is 2266068361. The next prime is 2266068403. The reversal of 2266068400 is 48606622.

It is not an unprimeable number, because it can be changed into a prime (2266068403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55776 + ... + 87424.

It is an arithmetic number, because the mean of its divisors is an integer number (91246950).

Almost surely, 22266068400 is an apocalyptic number.

2266068400 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 2266068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737408500).

2266068400 is an abundant number, since it is smaller than the sum of its proper divisors (3208748600).

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

2266068400 is a wasteful number, since it uses less digits than its factorization.

2266068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31846 (or 31835 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2266068400 is about 47603.2393855712. The cubic root of 2266068400 is about 1313.4826431178.

The spelling of 2266068400 in words is "two billion, two hundred sixty-six million, sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 31649 35800 63298 71600 126596 158245 253192 316490 506384 632980 791225 1265960 1582450 2531920 3164900 5665171 6329800 11330342 12659600 22660684 28325855 45321368 56651710 90642736 113303420 141629275 226606840 283258550 453213680 566517100 1133034200 2266068400