Search a number
-
+
114544164 = 22373171637
BaseRepresentation
bin1101101001111…
…00111000100100
321222112110001110
412310330320210
5213310403124
615211025020
72560416000
oct664747044
9258473043
10114544164
11597257a9
123243b170
131a966817
14112d9700
15a0c9029
hex6d3ce24

114544164 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 30782976.

The previous prime is 114544159. The next prime is 114544169. The reversal of 114544164 is 461445411.

It is an interprime number because it is at equal distance from previous prime (114544159) and next prime (114544169).

It is not an unprimeable number, because it can be changed into a prime (114544169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69154 + ... + 70790.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2114544164 is an apocalyptic number.

114544164 is a gapful number since it is divisible by the number (14) 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 114544164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

114544164 is an abundant number, since it is smaller than the sum of its proper divisors (215676636).

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

114544164 is a wasteful number, since it uses less digits than its factorization.

114544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1666 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 114544164 is about 10702.5307287576. The cubic root of 114544164 is about 485.6510391037.

Adding to 114544164 its reverse (461445411), we get a palindrome (575989575).

The spelling of 114544164 in words is "one hundred fourteen million, five hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1637 1666 2058 2499 3274 3332 4116 4911 4998 5831 6548 9822 9996 11459 11662 17493 19644 22918 23324 27829 34377 34986 45836 55658 68754 69972 80213 83487 111316 137508 160426 166974 194803 240639 320852 333948 389606 481278 561491 584409 779212 962556 1122982 1168818 1363621 1684473 2245964 2337636 2727242 3368946 4090863 5454484 6737892 8181726 9545347 16363452 19090694 28636041 38181388 57272082 114544164