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228078448 = 24131915741
BaseRepresentation
bin11011001100000…
…11001101110000
3120220011120210221
431212003031300
5431342002243
634344302424
75436430513
oct1546031560
9526146727
10228078448
11107820794
1264471a14
1338338780
1422410d7a
1515053bed
hexd983370

228078448 has 40 divisors (see below), whose sum is σ = 478469376. Its totient is φ = 104697600.

The previous prime is 228078437. The next prime is 228078457. The reversal of 228078448 is 844870822.

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 7 ways as a sum of consecutive naturals, for example, 36858 + ... + 42598.

Almost surely, 2228078448 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 228078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239234688).

228078448 is an abundant number, since it is smaller than the sum of its proper divisors (250390928).

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

228078448 is a wasteful number, since it uses less digits than its factorization.

228078448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5953 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 228078448 is about 15102.2663199932. The cubic root of 228078448 is about 610.9815318674.

The spelling of 228078448 in words is "two hundred twenty-eight million, seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 191 208 382 764 1528 2483 3056 4966 5741 9932 11482 19864 22964 39728 45928 74633 91856 149266 298532 597064 1096531 1194128 2193062 4386124 8772248 14254903 17544496 28509806 57019612 114039224 228078448