Search a number
-
+
114122240 = 29544579
BaseRepresentation
bin1101100110101…
…01111000000000
321221202000021122
412303111320000
5213203402430
615154011412
72554010621
oct663257000
9257660248
10114122240
1159467801
1232276b68
131a84976b
1411229a48
15a043ee5
hex6cd5e00

114122240 has 40 divisors (see below), whose sum is σ = 273632040. Its totient is φ = 45647872.

The previous prime is 114122231. The next prime is 114122243. The reversal of 114122240 is 42221411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114122243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19730 + ... + 24849.

It is an arithmetic number, because the mean of its divisors is an integer number (6840801).

Almost surely, 2114122240 is an apocalyptic number.

114122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122240 is an abundant number, since it is smaller than the sum of its proper divisors (159509800).

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

114122240 is an frugal number, since it uses more digits than its factorization.

114122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44602 (or 44586 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 114122240 is about 10682.8011307896. The cubic root of 114122240 is about 485.0540061021.

Adding to 114122240 its reverse (42221411), we get a palindrome (156343651).

The spelling of 114122240 in words is "one hundred fourteen million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 44579 89158 178316 222895 356632 445790 713264 891580 1426528 1783160 2853056 3566320 5706112 7132640 11412224 14265280 22824448 28530560 57061120 114122240