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228130398648 = 233315713075147
BaseRepresentation
bin1101010001110110100…
…0011010000110111000
3210210211210120222222000
43110131220122012320
512214202340224043
6252445054101000
722324166252025
oct3243550320670
9723753528860
10228130398648
1188827732049
12382684aa760
1318688264c89
14b0820d654c
155e02d972d3
hex351da1a1b8

228130398648 has 128 divisors (see below), whose sum is σ = 638343763200. Its totient is φ = 75486632832.

The previous prime is 228130398637. The next prime is 228130398667. The reversal of 228130398648 is 846893031822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228130398594 and 228130398603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44320411 + ... + 44325557.

It is an arithmetic number, because the mean of its divisors is an integer number (4987060650).

Almost surely, 2228130398648 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 228130398648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319171881600).

228130398648 is an abundant number, since it is smaller than the sum of its proper divisors (410213364552).

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

228130398648 is a wasteful number, since it uses less digits than its factorization.

228130398648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 228130398648 in words is "two hundred twenty-eight billion, one hundred thirty million, three hundred ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1307 1413 1884 2614 2826 3768 3921 4239 5147 5228 5652 7842 8478 10294 10456 11304 11763 15441 15684 16956 20588 23526 30882 31368 33912 35289 41176 46323 47052 61764 70578 92646 94104 123528 138969 141156 185292 205199 277938 282312 370584 410398 555876 615597 808079 820796 1111752 1231194 1616158 1641592 1846791 2424237 2462388 3232316 3693582 4848474 4924776 5540373 6464632 6727129 7272711 7387164 9696948 11080746 13454258 14545422 14774328 19393896 20181387 21818133 22161492 26908516 29090844 40362774 43636266 44322984 53817032 58181688 60544161 80725548 87272532 121088322 161451096 174545064 181632483 242176644 363264966 484353288 726529932 1056159253 1453059864 2112318506 3168477759 4224637012 6336955518 8449274024 9505433277 12673911036 19010866554 25347822072 28516299831 38021733108 57032599662 76043466216 114065199324 228130398648