Search a number
-
+
2200668306276 = 22311197293288833
BaseRepresentation
bin100000000001100010000…
…011010111101101100100
321210101022100200000022210
4200001202003113231210
5242023432041300101
64402550103123420
7314664416651616
oct40014203275544
97711270600283
102200668306276
11779330984420
122b6607443570
1312c6a3176a3b
1478727618db6
153c39ee637d6
hex200620d7b64

2200668306276 has 96 divisors (see below), whose sum is σ = 5649371215488. Its totient is φ = 661217320960.

The previous prime is 2200668306241. The next prime is 2200668306283. The reversal of 2200668306276 is 6726038660022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7474756 + ... + 7763588.

It is an arithmetic number, because the mean of its divisors is an integer number (58847616828).

Almost surely, 22200668306276 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 2200668306276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824685607744).

2200668306276 is an abundant number, since it is smaller than the sum of its proper divisors (3448702909212).

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

2200668306276 is a wasteful number, since it uses less digits than its factorization.

2200668306276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289341 (or 289339 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 2200668306276 in words is "two trillion, two hundred billion, six hundred sixty-eight million, three hundred six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 293 394 586 591 788 879 1172 1182 1758 2167 2364 3223 3516 4334 6446 6501 8668 9669 12892 13002 19338 26004 38676 57721 115442 173163 230884 288833 346326 577666 634931 692652 866499 1155332 1269862 1732998 1904793 2539724 3177163 3465996 3809586 6354326 7619172 9531489 12708652 19062978 38125956 56900101 84628069 113800202 169256138 170700303 227600404 253884207 338512276 341400606 507768414 625901111 682801212 930908759 1015536828 1251802222 1861817518 1877703333 2503604444 2792726277 3723635036 3755406666 5585452554 7510813332 11170905108 16671729593 33343459186 50015188779 66686918372 100030377558 183389025523 200060755116 366778051046 550167076569 733556102092 1100334153138 2200668306276