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225236700 = 223552132331
BaseRepresentation
bin11010110110011…
…01011011011100
3120200211012200000
431123031123130
5430130033300
634203334300
75403323523
oct1533153334
9520735600
10225236700
1110615a737
1263521390
1337882170
1421cb14ba
1514b91c00
hexd6cd6dc

225236700 has 432 divisors, whose sum is σ = 849278976. Its totient is φ = 51321600.

The previous prime is 225236699. The next prime is 225236701. The reversal of 225236700 is 7632522.

It is an interprime number because it is at equal distance from previous prime (225236699) and next prime (225236701).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225236701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7265685 + ... + 7265715.

Almost surely, 2225236700 is an apocalyptic number.

225236700 is a gapful number since it is divisible by the number (20) 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 225236700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424639488).

225236700 is an abundant number, since it is smaller than the sum of its proper divisors (624042276).

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

225236700 is a wasteful number, since it uses less digits than its factorization.

225236700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225236700 is about 15007.8879260208. The cubic root of 225236700 is about 608.4334073599.

The spelling of 225236700 in words is "two hundred twenty-five million, two hundred thirty-six thousand, seven hundred".