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225032448 = 283793709
BaseRepresentation
bin11010110100110…
…11100100000000
3120200102211111010
431122123210000
5430102014243
634155120520
75401513164
oct1532334400
9520384433
10225032448
11106030233
1263443140
13378101c4
1421c5aca4
1514b51433
hexd69b900

225032448 has 72 divisors (see below), whose sum is σ = 606659200. Its totient is φ = 74041344.

The previous prime is 225032429. The next prime is 225032461. The reversal of 225032448 is 844230522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58818 + ... + 62526.

Almost surely, 2225032448 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 225032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303329600).

225032448 is an abundant number, since it is smaller than the sum of its proper divisors (381626752).

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

225032448 is an equidigital number, since it uses as much as digits as its factorization.

225032448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 225032448 is about 15001.0815610075. The cubic root of 225032448 is about 608.2494359728.

The spelling of 225032448 in words is "two hundred twenty-five million, thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3709 3792 5056 7418 7584 10112 11127 14836 15168 20224 22254 29672 30336 44508 59344 60672 89016 118688 178032 237376 293011 356064 474752 586022 712128 879033 949504 1172044 1424256 1758066 2344088 2848512 3516132 4688176 7032264 9376352 14064528 18752704 28129056 37505408 56258112 75010816 112516224 225032448