Search a number
-
+
8229339228 = 22311247120587
BaseRepresentation
bin1111010101000000…
…11100000001011100
3210020111221202011210
413222200130001130
5113323202323403
63440331144420
7410634141435
oct75240340134
923214852153
108229339228
11354327a400
121717ba5110
13a11c006c6
14580d2648c
153326ecb03
hex1ea81c05c

8229339228 has 72 divisors (see below), whose sum is σ = 21555346176. Its totient is φ = 2440660640.

The previous prime is 8229339197. The next prime is 8229339233.

8229339228 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7951 + ... + 128537.

It is an arithmetic number, because the mean of its divisors is an integer number (299379808).

Almost surely, 28229339228 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 8229339228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777673088).

8229339228 is an abundant number, since it is smaller than the sum of its proper divisors (13326006948).

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

8229339228 is a wasteful number, since it uses less digits than its factorization.

8229339228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120663 (or 120650 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 8229339228 is about 90715.7055200476. The cubic root of 8229339228 is about 2018.9318297907.

The spelling of 8229339228 in words is "eight billion, two hundred twenty-nine million, three hundred thirty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 2068 3102 5687 6204 11374 17061 22748 34122 68244 120587 241174 361761 482348 723522 1326457 1447044 2652914 3979371 5305828 5667589 7958742 11335178 14591027 15917484 17002767 22670356 29182054 34005534 43773081 58364108 62343479 68011068 87546162 124686958 175092324 187030437 249373916 374060874 685778269 748121748 1371556538 2057334807 2743113076 4114669614 8229339228