Search a number
-
+
226502016 = 27313172157
BaseRepresentation
bin11011000000000…
…10010110000000
3120210012111100120
431200002112000
5430441031031
634250420240
75420143506
oct1540022600
9523174316
10226502016
11106944354
1263a31680
1337c06080
1422120676
1514d41a96
hexd802580

226502016 has 192 divisors, whose sum is σ = 692665680. Its totient is φ = 65175552.

The previous prime is 226502011. The next prime is 226502039. The reversal of 226502016 is 610205622.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226502011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442610 + ... + 1442766.

Almost surely, 2226502016 is an apocalyptic number.

226502016 is a gapful number since it is divisible by the number (26) 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 226502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346332840).

226502016 is an abundant number, since it is smaller than the sum of its proper divisors (466163664).

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

226502016 is a wasteful number, since it uses less digits than its factorization.

226502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 226502016 is about 15049.9839202572. The cubic root of 226502016 is about 609.5706160360.

Adding to 226502016 its reverse (610205622), we get a palindrome (836707638).

The spelling of 226502016 in words is "two hundred twenty-six million, five hundred two thousand, sixteen".