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226366848 = 2732196499
BaseRepresentation
bin11010111111000…
…01010110000000
3120202221121221100
431133201112000
5430422214343
634243454400
75416041441
oct1537412600
9522847840
10226366848
11106861844
1263987400
1337b896a6
14220c72c8
1514d169d3
hexd7e1580

226366848 has 48 divisors (see below), whose sum is σ = 651397500. Its totient is φ = 75455232.

The previous prime is 226366831. The next prime is 226366871. The reversal of 226366848 is 848663622.

226366848 is a `hidden beast` number, since 2 + 2 + 636 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 97098 + ... + 99401.

Almost surely, 2226366848 is an apocalyptic number.

It is an amenable number.

226366848 is an abundant number, since it is smaller than the sum of its proper divisors (425030652).

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

226366848 is a wasteful number, since it uses less digits than its factorization.

226366848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196519 (or 196504 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 226366848 is about 15045.4926140688. The cubic root of 226366848 is about 609.4493355313.

The spelling of 226366848 in words is "two hundred twenty-six million, three hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 196499 392998 589497 785996 1178994 1571992 1768491 2357988 3143984 3536982 4715976 6287968 7073964 9431952 12575936 14147928 18863904 25151872 28295856 37727808 56591712 75455616 113183424 226366848