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2148692208 = 243135958363
BaseRepresentation
bin1000000000010010…
…0111000011110000
312112202010212120220
42000010213003300
513400031122313
6553113533040
7104150403525
oct20004470360
95482125526
102148692208
11a02976293
124bb714180
13283208c10
1416552314c
15c8984823
hex801270f0

2148692208 has 80 divisors (see below), whose sum is σ = 6079194240. Its totient is φ = 649919232.

The previous prime is 2148692191. The next prime is 2148692251. The reversal of 2148692208 is 8022968412.

It is a self number, because there is not a number n which added to its sum of digits gives 2148692208.

It is a congruent number.

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, 7635 + ... + 65997.

It is an arithmetic number, because the mean of its divisors is an integer number (75989928).

Almost surely, 22148692208 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 2148692208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039597120).

2148692208 is an abundant number, since it is smaller than the sum of its proper divisors (3930502032).

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

2148692208 is a wasteful number, since it uses less digits than its factorization.

2148692208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58446 (or 58440 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2148692208 is about 46353.9880484948. The cubic root of 2148692208 is about 1290.4011347910.

The spelling of 2148692208 in words is "two billion, one hundred forty-eight million, six hundred ninety-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 58363 116726 175089 233452 350178 466904 700356 758719 933808 1400712 1517438 2276157 2801424 3034876 3443417 4552314 6069752 6886834 9104628 10330251 12139504 13773668 18209256 20660502 27547336 36418512 41321004 44764421 55094672 82642008 89528842 134293263 165284016 179057684 268586526 358115368 537173052 716230736 1074346104 2148692208