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225230416 = 2417267727
BaseRepresentation
bin11010110110010…
…11111001010000
3120200210220001021
431123023321100
5430124333131
634203245224
75403266305
oct1533137120
9520726037
10225230416
11106155a44
1263519814
133787c348
1421cad0ac
1514b8ee11
hexd6cbe50

225230416 has 60 divisors (see below), whose sum is σ = 471129568. Its totient is φ = 104265216.

The previous prime is 225230387. The next prime is 225230419. The reversal of 225230416 is 614032522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225230419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309445 + ... + 310171.

Almost surely, 2225230416 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 225230416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235564784).

225230416 is an abundant number, since it is smaller than the sum of its proper divisors (245899152).

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

225230416 is a wasteful number, since it uses less digits than its factorization.

225230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 225230416 is about 15007.6785679865. The cubic root of 225230416 is about 608.4277489702.

Adding to 225230416 its reverse (614032522), we get a palindrome (839262938).

The spelling of 225230416 in words is "two hundred twenty-five million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 289 536 578 727 1072 1139 1156 1454 2278 2312 2908 4556 4624 5816 9112 11632 12359 18224 19363 24718 38726 48709 49436 77452 97418 98872 154904 194836 197744 210103 309808 389672 420206 779344 828053 840412 1656106 1680824 3312212 3361648 6624424 13248848 14076901 28153802 56307604 112615208 225230416