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226078848 = 27324432
BaseRepresentation
bin11010111100110…
…11000010000000
3120202101222212200
431132123002000
5430334010343
634233353200
75413432002
oct1536330200
9522358780
10226078848
11106685426
1263868800
1337ab8588
1422050372
1514cab4d3
hexd79b080

226078848 has 72 divisors (see below), whose sum is σ = 652037295. Its totient is φ = 75189504.

The previous prime is 226078829. The next prime is 226078889. The reversal of 226078848 is 848870622.

It is a happy number.

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.

It can be written as a sum of positive squares in only one way, i.e., 113039424 + 113039424 = 10632^2 + 10632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10632.

It is a super-2 number, since 2×2260788482 = 102223291026014208, which contains 22 as substring.

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, 510115 + ... + 510557.

Almost surely, 2226078848 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 226078848

226078848 is an abundant number, since it is smaller than the sum of its proper divisors (425958447).

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

226078848 is an frugal number, since it uses more digits than its factorization.

226078848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 226078848 is about 15035.9185951507. The cubic root of 226078848 is about 609.1907642494.

The spelling of 226078848 in words is "two hundred twenty-six million, seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 443 576 886 1152 1329 1772 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 28352 31896 42528 56704 63792 85056 127584 170112 196249 255168 392498 510336 588747 784996 1177494 1569992 1766241 2354988 3139984 3532482 4709976 6279968 7064964 9419952 12559936 14129928 18839904 25119872 28259856 37679808 56519712 75359616 113039424 226078848