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235114000 = 24531110687
BaseRepresentation
bin11100000001110…
…00111000010000
3121101102000202221
432000320320100
5440142122000
635155150424
75553302362
oct1600707020
9541360687
10235114000
111107966a0
12668a5414
133992cc14
1423322d32
151599361a
hexe038e10

235114000 has 80 divisors (see below), whose sum is σ = 620246016. Its totient is φ = 85488000.

The previous prime is 235113943. The next prime is 235114003. The reversal of 235114000 is 411532.

235114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (235114003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16657 + ... + 27343.

Almost surely, 2235114000 is an apocalyptic number.

235114000 is a gapful number since it is divisible by the number (20) 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 235114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310123008).

235114000 is an abundant number, since it is smaller than the sum of its proper divisors (385132016).

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

235114000 is a wasteful number, since it uses less digits than its factorization.

235114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 235114000 is about 15333.4275359425. The cubic root of 235114000 is about 617.2003496230.

Adding to 235114000 its reverse (411532), we get a palindrome (235525532).

The spelling of 235114000 in words is "two hundred thirty-five million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10687 11000 21374 22000 42748 53435 85496 106870 117557 170992 213740 235114 267175 427480 470228 534350 587785 854960 940456 1068700 1175570 1335875 1880912 2137400 2351140 2671750 2938925 4274800 4702280 5343500 5877850 9404560 10687000 11755700 14694625 21374000 23511400 29389250 47022800 58778500 117557000 235114000