Search a number
-
+
225140736 = 21339161
BaseRepresentation
bin11010110101101…
…10000000000000
3120200122100000210
431122312000000
5430114000421
634201314120
75402443662
oct1532660000
9520570023
10225140736
111060a4627
1263495940
133784a592
1421c88532
1514b73576
hexd6b6000

225140736 has 56 divisors (see below), whose sum is σ = 600404184. Its totient is φ = 75038720.

The previous prime is 225140701. The next prime is 225140749. The reversal of 225140736 is 637041522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19996 + ... + 29156.

Almost surely, 2225140736 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 225140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300202092).

225140736 is an abundant number, since it is smaller than the sum of its proper divisors (375263448).

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

225140736 is an frugal number, since it uses more digits than its factorization.

225140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 225140736 is about 15004.6904666508. The cubic root of 225140736 is about 608.3469856864.

The spelling of 225140736 in words is "two hundred twenty-five million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 9161 12288 18322 24576 27483 36644 54966 73288 109932 146576 219864 293152 439728 586304 879456 1172608 1758912 2345216 3517824 4690432 7035648 9380864 14071296 18761728 28142592 37523456 56285184 75046912 112570368 225140736