Search a number
-
+
114362292 = 223111945599
BaseRepresentation
bin1101101000100…
…00011110110100
321222012012120110
412310100132310
5213234043132
615203103020
72556030522
oct664203664
9258165513
10114362292
11596110a0
1232371a70
131a901ac5
141128d312
15a0901cc
hex6d107b4

114362292 has 48 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 32830560.

The previous prime is 114362291. The next prime is 114362293. The reversal of 114362292 is 292263411.

It is an interprime number because it is at equal distance from previous prime (114362291) and next prime (114362293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114362291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20292 + ... + 25307.

It is an arithmetic number, because the mean of its divisors is an integer number (6384000).

Almost surely, 2114362292 is an apocalyptic number.

114362292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114362292 is an abundant number, since it is smaller than the sum of its proper divisors (192069708).

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

114362292 is a wasteful number, since it uses less digits than its factorization.

114362292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45636 (or 45634 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 114362292 is about 10694.0306713605. The cubic root of 114362292 is about 485.3938657660.

The spelling of 114362292 in words is "one hundred fourteen million, three hundred sixty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 45599 91198 136797 182396 273594 501589 547188 866381 1003178 1504767 1732762 2006356 2599143 3009534 3465524 5198286 6019068 9530191 10396572 19060382 28590573 38120764 57181146 114362292