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225002352 = 24373157409
BaseRepresentation
bin11010110100101…
…00001101110000
3120200101022012110
431122110031300
5430100033402
634154325320
75401326351
oct1532241560
9520338173
10225002352
1110600a663
1263429840
13377cc5b3
1421c4dd28
1514b4756c
hexd694370

225002352 has 80 divisors (see below), whose sum is σ = 594421280. Its totient is φ = 73322496.

The previous prime is 225002339. The next prime is 225002363. The reversal of 225002352 is 253200522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549924 + ... + 550332.

It is an arithmetic number, because the mean of its divisors is an integer number (7430266).

Almost surely, 2225002352 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 225002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297210640).

225002352 is an abundant number, since it is smaller than the sum of its proper divisors (369418928).

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

225002352 is a wasteful number, since it uses less digits than its factorization.

225002352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225002352 is about 15000.0783997951. The cubic root of 225002352 is about 608.2223188595. Note that the first 3 decimals are identical.

Adding to 225002352 its reverse (253200522), we get a palindrome (478202874).

The spelling of 225002352 in words is "two hundred twenty-five million, two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 157 219 292 314 409 438 471 584 628 818 876 942 1168 1227 1256 1636 1752 1884 2454 2512 3272 3504 3768 4908 6544 7536 9816 11461 19632 22922 29857 34383 45844 59714 64213 68766 89571 91688 119428 128426 137532 179142 183376 192639 238856 256852 275064 358284 385278 477712 513704 550128 716568 770556 1027408 1433136 1541112 3082224 4687549 9375098 14062647 18750196 28125294 37500392 56250588 75000784 112501176 225002352