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2314514000 = 24531157257
BaseRepresentation
bin1000100111110100…
…1010111001010000
312222022011111022202
42021331022321100
514220003422000
61021400022332
7111233021141
oct21175127120
95868144282
102314514000
11a88534697
125471619a8
132ab687516
1417d569ac8
15d82dbdd5
hex89f4ae50

2314514000 has 40 divisors (see below), whose sum is σ = 5596499688. Its totient is φ = 925804800.

The previous prime is 2314513997. The next prime is 2314514003. The reversal of 2314514000 is 4154132.

It is an interprime number because it is at equal distance from previous prime (2314513997) and next prime (2314514003).

It can be written as a sum of positive squares in 4 ways, for example, as 591267856 + 1723246144 = 24316^2 + 41512^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314514003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576629 + ... + 580628.

Almost surely, 22314514000 is an apocalyptic number.

2314514000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314514000 is an abundant number, since it is smaller than the sum of its proper divisors (3281985688).

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

2314514000 is a wasteful number, since it uses less digits than its factorization.

2314514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157280 (or 1157264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2314514000 is about 48109.3961716420. The cubic root of 2314514000 is about 1322.7769058407.

Adding to 2314514000 its reverse (4154132), we get a palindrome (2318668132).

The spelling of 2314514000 in words is "two billion, three hundred fourteen million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1157257 2314514 4629028 5786285 9258056 11572570 18516112 23145140 28931425 46290280 57862850 92580560 115725700 144657125 231451400 289314250 462902800 578628500 1157257000 2314514000