Search a number
-
+
2153688208 = 247131229641
BaseRepresentation
bin1000000001011110…
…1010110010010000
312120002112200210221
42000113222302100
513402321010313
6553413002424
7104241022240
oct20027526220
95502480727
102153688208
11a05778911
12501323414
13284267c29
14166063b20
15c911ec8d
hex805eac90

2153688208 has 80 divisors (see below), whose sum is σ = 4833797760. Its totient is φ = 910540800.

The previous prime is 2153688179. The next prime is 2153688253. The reversal of 2153688208 is 8028863512.

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, 3359568 + ... + 3360208.

It is an arithmetic number, because the mean of its divisors is an integer number (60422472).

Almost surely, 22153688208 is an apocalyptic number.

2153688208 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 2153688208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416898880).

2153688208 is an abundant number, since it is smaller than the sum of its proper divisors (2680109552).

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

2153688208 is a wasteful number, since it uses less digits than its factorization.

2153688208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 2153688208 is about 46407.8464055379. The cubic root of 2153688208 is about 1291.4004797096.

The spelling of 2153688208 in words is "two billion, one hundred fifty-three million, six hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 229 262 458 524 641 916 917 1048 1282 1603 1832 1834 2096 2564 3206 3664 3668 4487 5128 6412 7336 8974 10256 12824 14672 17948 25648 29999 35896 59998 71792 83971 119996 146789 167942 209993 239992 293578 335884 419986 479984 587156 587797 671768 839972 1027523 1174312 1175594 1343536 1679944 2055046 2348624 2351188 3359888 4110092 4702376 8220184 9404752 16440368 19229359 38458718 76917436 134605513 153834872 269211026 307669744 538422052 1076844104 2153688208