Search a number
-
+
14922712100 = 22521910376253
BaseRepresentation
bin11011110010111011…
…01000010000100100
31102111222201022121202
431321131220100210
5221030203241400
610504433302032
71035540650162
oct157135502044
942458638552
1014922712100
11636853351a
122a85704918
13153a82827a
14a17c66232
155c51494d5
hex379768424

14922712100 has 72 divisors (see below), whose sum is σ = 34418005440. Its totient is φ = 5599946880.

The previous prime is 14922712027. The next prime is 14922712127. The reversal of 14922712100 is 121722941.

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, 157574 + ... + 233826.

Almost surely, 214922712100 is an apocalyptic number.

14922712100 is a gapful number since it is divisible by the number (10) 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 14922712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209002720).

14922712100 is an abundant number, since it is smaller than the sum of its proper divisors (19495293340).

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

14922712100 is a wasteful number, since it uses less digits than its factorization.

14922712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76389 (or 76382 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 14922712100 in words is "fourteen billion, nine hundred twenty-two million, seven hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 103 190 206 380 412 475 515 950 1030 1900 1957 2060 2575 3914 5150 7828 9785 10300 19570 39140 48925 76253 97850 152506 195700 305012 381265 762530 1448807 1525060 1906325 2897614 3812650 5795228 7244035 7625300 7854059 14488070 15708118 28976140 31416236 36220175 39270295 72440350 78540590 144880700 149227121 157081180 196351475 298454242 392702950 596908484 746135605 785405900 1492271210 2984542420 3730678025 7461356050 14922712100