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228660544728 = 23357112197309
BaseRepresentation
bin1101010011110100111…
…0110000010011011000
3210212012202011012200000
43110331032300103120
512221244044412403
6253013433013000
722343264363310
oct3247516602330
9725182135600
10228660544728
1188a79a09700
1238395b54160
1318741043695
14b0d2698440
155e346b77a3
hex353d3b04d8

228660544728 has 576 divisors, whose sum is σ = 849340128000. Its totient is φ = 56258737920.

The previous prime is 228660544711. The next prime is 228660544813. The reversal of 228660544728 is 827445066822.

228660544728 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 605 + 4 + 4 + 7 + 28 = 666.

228660544728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31281138 + ... + 31288446.

Almost surely, 2228660544728 is an apocalyptic number.

228660544728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228660544728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424670064000).

228660544728 is an abundant number, since it is smaller than the sum of its proper divisors (620679583272).

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

228660544728 is a wasteful number, since it uses less digits than its factorization.

228660544728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 228660544728 in words is "two hundred twenty-eight billion, six hundred sixty million, five hundred forty-four thousand, seven hundred twenty-eight".