Search a number
-
+
228407305728 = 293742150459
BaseRepresentation
bin1101010010111000100…
…0101110011000000000
3210211120002122100001210
43110232020232120000
512220234232240403
6252532345130120
722334101031220
oct3245610563000
9724502570053
10228407305728
1188959a73478
1238325189940
1318700738914
14b0aabb8080
155e1c343b03
hex352e22e600

228407305728 has 160 divisors (see below), whose sum is σ = 697084312320. Its totient is φ = 65102929920.

The previous prime is 228407305703. The next prime is 228407305733. The reversal of 228407305728 is 827503704822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501363 + ... + 4551821.

It is an arithmetic number, because the mean of its divisors is an integer number (4356776952).

Almost surely, 2228407305728 is an apocalyptic number.

228407305728 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 228407305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348542156160).

228407305728 is an abundant number, since it is smaller than the sum of its proper divisors (468677006592).

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

228407305728 is an equidigital number, since it uses as much as digits as its factorization.

228407305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50908 (or 50892 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 228407305728 in words is "two hundred twenty-eight billion, four hundred seven million, three hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 421 448 512 672 768 842 896 1263 1344 1536 1684 1792 2526 2688 2947 3368 3584 5052 5376 5894 6736 8841 10104 10752 11788 13472 17682 20208 23576 26944 35364 40416 47152 50459 53888 70728 80832 94304 100918 107776 141456 151377 161664 188608 201836 215552 282912 302754 323328 353213 377216 403672 565824 605508 646656 706426 754432 807344 1059639 1131648 1211016 1412852 1508864 1614688 2119278 2263296 2422032 2825704 3229376 4238556 4526592 4844064 5651408 6458752 8477112 9688128 11302816 12917504 16954224 19376256 21243239 22605632 25835008 33908448 38752512 42486478 45211264 63729717 67816896 77505024 84972956 90422528 127459434 135633792 148702673 169945912 180845056 254918868 271267584 297405346 339891824 446108019 509837736 542535168 594810692 679783648 892216038 1019675472 1189621384 1359567296 1784432076 2039350944 2379242768 2719134592 3568864152 4078701888 4758485536 5438269184 7137728304 8157403776 9516971072 10876538368 14275456608 16314807552 19033942144 28550913216 32629615104 38067884288 57101826432 76135768576 114203652864 228407305728