Search a number
-
+
226607600 = 24523971427
BaseRepresentation
bin11011000000111…
…00000111110000
3120210101212012002
431200130013300
5431002420400
634252553132
75421063362
oct1540340760
9523355162
10226607600
11106a0670a
1263a827a8
1337c4214b
142214ad32
1514d62ed5
hexd81c1f0

226607600 has 60 divisors (see below), whose sum is σ = 546178584. Its totient is φ = 90351360.

The previous prime is 226607597. The next prime is 226607609. The reversal of 226607600 is 6706622.

226607600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226607609) 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, 158087 + ... + 159513.

Almost surely, 2226607600 is an apocalyptic number.

226607600 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 226607600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273089292).

226607600 is an abundant number, since it is smaller than the sum of its proper divisors (319570984).

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

226607600 is a wasteful number, since it uses less digits than its factorization.

226607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 226607600 is about 15053.4912893986. The cubic root of 226607600 is about 609.6653185130.

The spelling of 226607600 in words is "two hundred twenty-six million, six hundred seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 397 400 794 1427 1588 1985 2854 3176 3970 5708 6352 7135 7940 9925 11416 14270 15880 19850 22832 28540 31760 35675 39700 57080 71350 79400 114160 142700 158800 285400 566519 570800 1133038 2266076 2832595 4532152 5665190 9064304 11330380 14162975 22660760 28325950 45321520 56651900 113303800 226607600