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225798528 = 2734712511
BaseRepresentation
bin11010111010101…
…10100110000000
3120201212202100110
431131112212000
5430301023103
634223351320
75411153514
oct1535264600
9521782313
10225798528
1110650385a
1263752540
1337a1aac7
1421dba144
1514c53403
hexd756980

225798528 has 64 divisors (see below), whose sum is σ = 612587520. Its totient is φ = 73658880.

The previous prime is 225798523. The next prime is 225798533. The reversal of 225798528 is 825897522.

It is a happy number.

225798528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225798523) and next prime (225798533).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225798523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11793 + ... + 24303.

It is an arithmetic number, because the mean of its divisors is an integer number (9571680).

Almost surely, 2225798528 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 225798528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306293760).

225798528 is an abundant number, since it is smaller than the sum of its proper divisors (386788992).

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

225798528 is a wasteful number, since it uses less digits than its factorization.

225798528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12563 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 225798528 is about 15026.5940252607. The cubic root of 225798528 is about 608.9388772271.

The spelling of 225798528 in words is "two hundred twenty-five million, seven hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 12511 18048 25022 37533 50044 75066 100088 150132 200176 300264 400352 588017 600528 800704 1176034 1201056 1601408 1764051 2352068 2402112 3528102 4704136 4804224 7056204 9408272 14112408 18816544 28224816 37633088 56449632 75266176 112899264 225798528