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2232164228 = 22724359672
BaseRepresentation
bin1000010100001100…
…0001111110000100
312202120012200200012
42011003001332010
514032413223403
61005255005352
7106213040300
oct20503017604
95676180605
102232164228
11a45aa9028
12523669858
132975b3748
14172650d00
15d0e71ed8
hex850c1f84

2232164228 has 108 divisors (see below), whose sum is σ = 4800161520. Its totient is φ = 904847328.

The previous prime is 2232164227. The next prime is 2232164257. The reversal of 2232164228 is 8224612322.

It is a super-3 number, since 3×22321642283 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232164194 and 2232164203.

It is not an unprimeable number, because it can be changed into a prime (2232164227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33315851 + ... + 33315917.

It is an arithmetic number, because the mean of its divisors is an integer number (44445940).

Almost surely, 22232164228 is an apocalyptic number.

2232164228 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 2232164228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400080760).

2232164228 is an abundant number, since it is smaller than the sum of its proper divisors (2567997292).

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

2232164228 is a wasteful number, since it uses less digits than its factorization.

2232164228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 178 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2232164228 is about 47245.7852935053. The cubic root of 2232164228 is about 1306.8990672234.

The spelling of 2232164228 in words is "two billion, two hundred thirty-two million, one hundred sixty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 43 49 59 67 86 98 118 134 172 196 236 268 301 413 469 602 826 938 1204 1652 1876 2107 2537 2881 2891 3283 3953 4214 4489 5074 5762 5782 6566 7906 8428 8978 10148 11524 11564 13132 15812 17759 17956 20167 27671 31423 35518 40334 55342 62846 71036 80668 110684 124313 125692 141169 169979 193027 193697 219961 248626 264851 282338 339958 386054 387394 439922 497252 529702 564676 679916 772108 774788 879844 1059404 1189853 1351189 1853957 2379706 2702378 3707914 4759412 5404756 7415828 8328971 9458323 11388593 12977699 16657942 18916646 22777186 25955398 33315884 37833292 45554372 51910796 79720151 159440302 318880604 558041057 1116082114 2232164228