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225232002 = 2347917599
BaseRepresentation
bin11010110110011…
…00010010000010
3120200210222020000
431123030102002
5430124411002
634203300430
75403304032
oct1533142202
9520728200
10225232002
11106157156
126351a716
133787cc98
1421cad8c2
1514b9061c
hexd6cc482

225232002 has 40 divisors (see below), whose sum is σ = 511104000. Its totient is φ = 74122776.

The previous prime is 225231989. The next prime is 225232079. The reversal of 225232002 is 200232522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3999 + ... + 21597.

It is an arithmetic number, because the mean of its divisors is an integer number (12777600).

Almost surely, 2225232002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225232002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255552000).

225232002 is an abundant number, since it is smaller than the sum of its proper divisors (285871998).

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

225232002 is a wasteful number, since it uses less digits than its factorization.

225232002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17692 (or 17683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225232002 is about 15007.7314075113. The cubic root of 225232002 is about 608.4291770842.

Adding to 225232002 its reverse (200232522), we get a palindrome (425464524).

The spelling of 225232002 in words is "two hundred twenty-five million, two hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 1422 2133 4266 6399 12798 17599 35198 52797 105594 158391 316782 475173 950346 1390321 1425519 2780642 2851038 4170963 8341926 12512889 25025778 37538667 75077334 112616001 225232002