Search a number
-
+
229661244 = 22392917
BaseRepresentation
bin11011011000001…
…01101000111100
3121000011000000000
431230011220330
5432243124434
634442234300
75456042211
oct1554055074
9530130000
10229661244
1110870198a
1264ab5990
1338771037
1422703b08
1515267b99
hexdb05a3c

229661244 has 60 divisors (see below), whose sum is σ = 603057224. Its totient is φ = 76527504.

The previous prime is 229661231. The next prime is 229661251. The reversal of 229661244 is 442166922.

229661244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 229661199 and 229661208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77274 + ... + 80190.

Almost surely, 2229661244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229661244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301528612).

229661244 is an abundant number, since it is smaller than the sum of its proper divisors (373395980).

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

229661244 is an frugal number, since it uses more digits than its factorization.

229661244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2922 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 229661244 is about 15154.5783181189. The cubic root of 229661244 is about 612.3916178630.

The spelling of 229661244 in words is "two hundred twenty-nine million, six hundred sixty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 2917 4374 5834 6561 8748 8751 11668 13122 17502 19683 26244 26253 35004 39366 52506 78732 78759 105012 157518 236277 315036 472554 708831 945108 1417662 2126493 2835324 4252986 6379479 8505972 12758958 19138437 25517916 38276874 57415311 76553748 114830622 229661244