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225053504 = 2613833259
BaseRepresentation
bin11010110101000…
…00101101000000
3120200110220100222
431122200231000
5430103203004
634155402212
75401631444
oct1532405500
9520426328
10225053504
11106045035
1263453368
1337819970
1421c64824
1514b577be
hexd6a0b40

225053504 has 56 divisors (see below), whose sum is σ = 486887520. Its totient is φ = 102587904.

The previous prime is 225053503. The next prime is 225053513. The reversal of 225053504 is 405350522.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225053501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67427 + ... + 70685.

It is an arithmetic number, because the mean of its divisors is an integer number (8694420).

Almost surely, 2225053504 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 225053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243443760).

225053504 is an abundant number, since it is smaller than the sum of its proper divisors (261834016).

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

225053504 is a wasteful number, since it uses less digits than its factorization.

225053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 225053504 is about 15001.7833606542. The cubic root of 225053504 is about 608.2684064232.

The spelling of 225053504 in words is "two hundred twenty-five million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1079 1328 2158 2656 3259 4316 5312 6518 8632 13036 17264 26072 34528 42367 52144 69056 84734 104288 169468 208576 270497 338936 540994 677872 1081988 1355744 2163976 2711488 3516461 4327952 7032922 8655904 14065844 17311808 28131688 56263376 112526752 225053504