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225607680 = 21534517
BaseRepresentation
bin11010111001010…
…00000000000000
3120201112001120000
431130220000000
5430223421210
634215320000
75406430224
oct1534500000
9521461500
10225607680
11106393431
1263680000
1337981c8c
1421d6a784
1514c16ac0
hexd728000

225607680 has 320 divisors, whose sum is σ = 856411380. Its totient is φ = 56623104.

The previous prime is 225607651. The next prime is 225607699. The reversal of 225607680 is 86706522.

225607680 is a `hidden beast` number, since 22 + 560 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 1327104 = 14976^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 816 × 720 × 384.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271032 + ... + 13271048.

Almost surely, 2225607680 is an apocalyptic number.

225607680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428205690).

225607680 is an abundant number, since it is smaller than the sum of its proper divisors (630803700).

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

225607680 is an frugal number, since it uses more digits than its factorization.

225607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 225607680 is about 15020.2423415869. The cubic root of 225607680 is about 608.7672677170.

The spelling of 225607680 in words is "two hundred twenty-five million, six hundred seven thousand, six hundred eighty".