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225940176 = 243272114171
BaseRepresentation
bin11010111011110…
…01001011010000
3120202010221122200
431131321023100
5430320041201
634230403200
75412313500
oct1535711320
9522127580
10225940176
111065a0220
1263800500
1337a6a417
1422015a00
1514c80386
hexd7792d0

225940176 has 360 divisors, whose sum is σ = 833571648. Its totient is φ = 56448000.

The previous prime is 225940159. The next prime is 225940199. The reversal of 225940176 is 671049522.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225940176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182221 + ... + 3182291.

Almost surely, 2225940176 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 225940176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785824).

225940176 is an abundant number, since it is smaller than the sum of its proper divisors (607631472).

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

225940176 is a wasteful number, since it uses less digits than its factorization.

225940176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 225940176 is about 15031.3065300392. The cubic root of 225940176 is about 609.0661838495.

Adding to 225940176 its reverse (671049522), we get a palindrome (896989698).

The spelling of 225940176 in words is "two hundred twenty-five million, nine hundred forty thousand, one hundred seventy-six".