Search a number
-
+
225353156 = 227217471439
BaseRepresentation
bin11010110111010…
…01110111000100
3120201001010102012
431123221313010
5430142300111
634210033352
75404320200
oct1533516704
9521033365
10225353156
1110622a186
1263578858
13378c3182
1421d01b00
1514bb648b
hexd6e9dc4

225353156 has 72 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 88902912.

The previous prime is 225353147. The next prime is 225353201. The reversal of 225353156 is 651353522.

It is a super-3 number, since 3×2253531563 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155885 + ... + 157323.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2225353156 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 225353156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

225353156 is an abundant number, since it is smaller than the sum of its proper divisors (271066684).

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

225353156 is a wasteful number, since it uses less digits than its factorization.

225353156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1512 counting only the distinct ones).

The product of its digits is 27000, while the sum is 32.

The square root of 225353156 is about 15011.7672510601. The cubic root of 225353156 is about 608.5382504172.

The spelling of 225353156 in words is "two hundred twenty-five million, three hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 47 49 68 94 98 119 188 196 238 329 476 658 799 833 1316 1439 1598 1666 2303 2878 3196 3332 4606 5593 5756 9212 10073 11186 20146 22372 24463 39151 40292 48926 67633 70511 78302 97852 135266 141022 156604 171241 270532 282044 342482 473431 684964 946862 1149761 1198687 1893724 2299522 2397374 3314017 4599044 4794748 6628034 8048327 13256068 16096654 32193308 56338289 112676578 225353156