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225008748 = 223261791297
BaseRepresentation
bin11010110100101…
…01110001101100
3120200101121222100
431122111301230
5430100234443
634154415100
75401354116
oct1532256154
9520347870
10225008748
11106014448
1263431490
1337802493
1421c523b6
1514b493d3
hexd695c6c

225008748 has 72 divisors (see below), whose sum is σ = 585865280. Its totient is φ = 72783360.

The previous prime is 225008743. The next prime is 225008761. The reversal of 225008748 is 847800522.

It is a happy number.

225008748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (225008741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172836 + ... + 174132.

Almost surely, 2225008748 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 225008748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292932640).

225008748 is an abundant number, since it is smaller than the sum of its proper divisors (360856532).

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

225008748 is a wasteful number, since it uses less digits than its factorization.

225008748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 225008748 is about 15000.2915971657. The cubic root of 225008748 is about 608.2280819890.

The spelling of 225008748 in words is "two hundred twenty-five million, eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 79 122 158 183 237 244 316 366 474 549 711 732 948 1098 1297 1422 2196 2594 2844 3891 4819 5188 7782 9638 11673 14457 15564 19276 23346 28914 43371 46692 57828 79117 86742 102463 158234 173484 204926 237351 307389 316468 409852 474702 614778 712053 922167 949404 1229556 1424106 1844334 2848212 3688668 6250243 12500486 18750729 25000972 37501458 56252187 75002916 112504374 225008748