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226589472 = 25328872
BaseRepresentation
bin11011000000101…
…11101100100000
3120210100221022200
431200113230200
5431001330342
634252333200
75420656464
oct1540275440
9523327280
10226589472
111069a402a
1263a74200
1337c36b15
14221444a4
1514d5c94c
hexd817b20

226589472 has 54 divisors (see below), whose sum is σ = 645091083. Its totient is φ = 75444672.

The previous prime is 226589453. The next prime is 226589507. The reversal of 226589472 is 274985622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226589472 is a `hidden beast` number, since 2 + 26 + 589 + 47 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113294736 + 113294736 = 10644^2 + 10644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10644.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 255013 + ... + 255899.

Almost surely, 2226589472 is an apocalyptic number.

It is an amenable number.

226589472 is an abundant number, since it is smaller than the sum of its proper divisors (418501611).

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

226589472 is an frugal number, since it uses more digits than its factorization.

226589472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 892 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 226589472 is about 15052.8891578992. The cubic root of 226589472 is about 609.6490608829.

The spelling of 226589472 in words is "two hundred twenty-six million, five hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 887 1774 2661 3548 5322 7096 7983 10644 14192 15966 21288 28384 31932 42576 63864 85152 127728 255456 786769 1573538 2360307 3147076 4720614 6294152 7080921 9441228 12588304 14161842 18882456 25176608 28323684 37764912 56647368 75529824 113294736 226589472