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114469000 = 23531131013
BaseRepresentation
bin1101101001010…
…10100010001000
321222101121221121
412310222202020
5213301002000
615205245024
72556653602
oct664524210
9258347847
10114469000
1159684288
1232403774
131a93b549
14112ba172
15a0b1b1a
hex6d2a888

114469000 has 64 divisors (see below), whose sum is σ = 270494640. Its totient is φ = 45337600.

The previous prime is 114468997. The next prime is 114469013. The reversal of 114469000 is 964411.

It can be written as a sum of positive squares in 8 ways, for example, as 27941796 + 86527204 = 5286^2 + 9302^2 .

It is a super-2 number, since 2×1144690002 = 26206303922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112494 + ... + 113506.

Almost surely, 2114469000 is an apocalyptic number.

114469000 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 114469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135247320).

114469000 is an abundant number, since it is smaller than the sum of its proper divisors (156025640).

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

114469000 is a wasteful number, since it uses less digits than its factorization.

114469000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 114469000 is about 10699.0186465862. The cubic root of 114469000 is about 485.5447876199.

The spelling of 114469000 in words is "one hundred fourteen million, four hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1013 1130 2026 2260 2825 4052 4520 5065 5650 8104 10130 11300 14125 20260 22600 25325 28250 40520 50650 56500 101300 113000 114469 126625 202600 228938 253250 457876 506500 572345 915752 1013000 1144690 2289380 2861725 4578760 5723450 11446900 14308625 22893800 28617250 57234500 114469000