Search a number
-
+
228437336512 = 267113383099
BaseRepresentation
bin1101010010111111101…
…1010010000111000000
3210211122012011001120001
43110233323102013000
512220314424232022
6252535340525344
722334614215430
oct3245773220700
9724565131501
10228437336512
1188974a15000
1238333250854
1318706a21908
14b0b0b942c0
155e1ecc6b27
hex352fed21c0

228437336512 has 112 divisors (see below), whose sum is σ = 569832134400. Its totient is φ = 89001327360.

The previous prime is 228437336503. The next prime is 228437336521. The reversal of 228437336512 is 215633734822.

It is a happy number.

228437336512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228437336503) and next prime (228437336521).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2284373365122 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 404739 + ... + 787837.

Almost surely, 2228437336512 is an apocalyptic number.

228437336512 is a gapful number since it is divisible by the number (22) 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 228437336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284916067200).

228437336512 is an abundant number, since it is smaller than the sum of its proper divisors (341394797888).

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

228437336512 is an equidigital number, since it uses as much as digits as its factorization.

228437336512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383151 (or 383119 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 228437336512 in words is "two hundred twenty-eight billion, four hundred thirty-seven million, three hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1331 1694 1936 2464 2662 3388 3872 4928 5324 6776 7744 9317 10648 13552 18634 21296 27104 37268 42592 54208 74536 85184 149072 298144 383099 596288 766198 1532396 2681693 3064792 4214089 5363386 6129584 8428178 10726772 12259168 16856356 21453544 24518336 29498623 33712712 42907088 46354979 58997246 67425424 85814176 92709958 117994492 134850848 171628352 185419916 235988984 269701696 324484853 370839832 471977968 509904769 648969706 741679664 943955936 1019809538 1297939412 1483359328 1887911872 2039619076 2595878824 2966718656 3569333383 4079238152 5191757648 7138666766 8158476304 10383515296 14277333532 16316952608 20767030592 28554667064 32633905216 57109334128 114218668256 228437336512