Search a number
-
+
15229000 = 235397157
BaseRepresentation
bin111010000110…
…000001001000
31001122201021001
4322012001020
512344312000
61302224344
7243305263
oct72060110
931581231
1015229000
118661856
1251250b4
133202957
142045cda
15150c46a
hexe86048

15229000 has 64 divisors (see below), whose sum is σ = 36232560. Its totient is φ = 5990400.

The previous prime is 15228971. The next prime is 15229001. The reversal of 15229000 is 92251.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 15194404 = 186^2 + 3898^2 .

It is not an unprimeable number, because it can be changed into a prime (15229001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96922 + ... + 97078.

Almost surely, 215229000 is an apocalyptic number.

15229000 is a gapful number since it is divisible by the number (10) 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 15229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116280).

15229000 is an abundant number, since it is smaller than the sum of its proper divisors (21003560).

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

15229000 is a wasteful number, since it uses less digits than its factorization.

15229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 15229000 is about 3902.4351371932. The cubic root of 15229000 is about 247.8699022811.

The spelling of 15229000 in words is "fifteen million, two hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 157 194 200 250 314 388 485 500 628 776 785 970 1000 1256 1570 1940 2425 3140 3880 3925 4850 6280 7850 9700 12125 15229 15700 19400 19625 24250 30458 31400 39250 48500 60916 76145 78500 97000 121832 152290 157000 304580 380725 609160 761450 1522900 1903625 3045800 3807250 7614500 15229000