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228810816 = 26321330557
BaseRepresentation
bin11011010001101…
…10000001000000
3120221112210102200
431220312001000
5432033421231
634412113200
75445600633
oct1550660100
9527483380
10228810816
11108180a53
1264765800
1338533c20
1422561c1a
151514abe6
hexda36040

228810816 has 84 divisors (see below), whose sum is σ = 706317612. Its totient is φ = 70401024.

The previous prime is 228810809. The next prime is 228810821. The reversal of 228810816 is 618018822.

It can be written as a sum of positive squares in 2 ways, for example, as 24206400 + 204604416 = 4920^2 + 14304^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7791 + ... + 22766.

It is an arithmetic number, because the mean of its divisors is an integer number (8408543).

Almost surely, 2228810816 is an apocalyptic number.

228810816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

228810816 is an abundant number, since it is smaller than the sum of its proper divisors (477506796).

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

228810816 is a wasteful number, since it uses less digits than its factorization.

228810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588 (or 30575 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 228810816 is about 15126.4938435845. The cubic root of 228810816 is about 611.6347942848.

The spelling of 228810816 in words is "two hundred twenty-eight million, eight hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 30557 61114 91671 122228 183342 244456 275013 366684 397241 488912 550026 733368 794482 977824 1100052 1191723 1466736 1588964 1955648 2200104 2383446 2933472 3177928 3575169 4400208 4766892 5866944 6355856 7150338 8800416 9533784 12711712 14300676 17600832 19067568 25423424 28601352 38135136 57202704 76270272 114405408 228810816