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228606384384 = 28327214232
BaseRepresentation
bin1101010011101000000…
…0001001100100000000
3210212001222020120122100
43110322000021210000
512221141213300014
6253004220110400
722342036130400
oct3247200114400
9725058216570
10228606384384
1188a51387194
123837b995400
1318732a5c741
14b0c93da800
155e2ea6a009
hex353a009900

228606384384 has 243 divisors, whose sum is σ = 767280589803. Its totient is φ = 65270209536.

The previous prime is 228606384367. The next prime is 228606384397. The reversal of 228606384384 is 483483606822.

The square root of 228606384384 is 478128.

It is a perfect power (a square), and thus also a powerful number.

228606384384 is a `hidden beast` number, since 2 + 28 + 606 + 3 + 8 + 4 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×2286063843842 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228606384384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160650297 + ... + 160651719.

Almost surely, 2228606384384 is an apocalyptic number.

228606384384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228606384384 is the 478128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228606384384

228606384384 is an abundant number, since it is smaller than the sum of its proper divisors (538674205419).

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

228606384384 is an frugal number, since it uses more digits than its factorization.

228606384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 228606384384 in words is "two hundred twenty-eight billion, six hundred six million, three hundred eighty-four thousand, three hundred eighty-four".