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4228893396 = 22327133141641
BaseRepresentation
bin1111110000001111…
…1100101011010100
3101220201102001011100
43330003330223110
532130044042041
61535343510100
7206540000160
oct37403745324
911821361140
104228893396
111880111222
129a02b8330
135251840b0
142c18d7ca0
1519b3da6b6
hexfc0fcad4

4228893396 has 144 divisors (see below), whose sum is σ = 13581288448. Its totient is φ = 1079308800.

The previous prime is 4228893359. The next prime is 4228893397. The reversal of 4228893396 is 6933988224.

It is a happy number.

4228893396 is a `hidden beast` number, since 4 + 228 + 89 + 339 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228893397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80736 + ... + 122376.

Almost surely, 24228893396 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 4228893396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790644224).

4228893396 is an abundant number, since it is smaller than the sum of its proper divisors (9352395052).

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

4228893396 is a wasteful number, since it uses less digits than its factorization.

4228893396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41702 (or 41697 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 4228893396 is about 65029.9423035266. The cubic root of 4228893396 is about 1617.1199904533.

The spelling of 4228893396 in words is "four billion, two hundred twenty-eight million, eight hundred ninety-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 41641 50778 83282 101556 124923 166564 249846 291487 374769 499692 541333 582974 749538 874461 1082666 1165948 1290871 1499076 1623999 1748922 2165332 2581742 2623383 3247998 3497844 3789331 3872613 4871997 5163484 5246766 6495996 7578662 7745226 9036097 9743994 10493532 11367993 11617839 15157324 15490452 16781323 18072194 19487988 22735986 23235678 27108291 33562646 34103979 36144388 45471972 46471356 50343969 54216582 67125292 68207958 81324873 100687938 108433164 117469261 136415916 151031907 162649746 201375876 234938522 302063814 325299492 352407783 469877044 604127628 704815566 1057223349 1409631132 2114446698 4228893396