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2350112000 = 28532712
BaseRepresentation
bin1000110000010011…
…1101110100000000
320001210011001121012
42030010331310000
514303112041000
61025111020052
7112144423325
oct21404756400
96053131535
102350112000
11aa6638a25
1255706a628
132b5b6c522
14184194b4c
15db4be735
hex8c13dd00

2350112000 has 108 divisors (see below), whose sum is σ = 5876105508. Its totient is φ = 936576000.

The previous prime is 2350111997. The next prime is 2350112003. The reversal of 2350112000 is 2110532.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2350111997) and next prime (2350112003).

It can be written as a sum of positive squares in 2 ways, for example, as 75203584 + 2274908416 = 8672^2 + 47696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2350112003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8671865 + ... + 8672135.

Almost surely, 22350112000 is an apocalyptic number.

2350112000 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 2350112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938052754).

2350112000 is an abundant number, since it is smaller than the sum of its proper divisors (3525993508).

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

2350112000 is an frugal number, since it uses more digits than its factorization.

2350112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2350112000 is about 48477.9537521954. The cubic root of 2350112000 is about 1329.5240160798.

Adding to 2350112000 its reverse (2110532), we get a palindrome (2352222532).

The spelling of 2350112000 in words is "two billion, three hundred fifty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 271 320 400 500 542 640 800 1000 1084 1280 1355 1600 2000 2168 2710 3200 4000 4336 5420 6400 6775 8000 8672 10840 13550 16000 17344 21680 27100 32000 33875 34688 43360 54200 67750 69376 73441 86720 108400 135500 146882 173440 216800 271000 293764 346880 367205 433600 542000 587528 734410 867200 1084000 1175056 1468820 1734400 1836025 2168000 2350112 2937640 3672050 4336000 4700224 5875280 7344100 8672000 9180125 9400448 11750560 14688200 18360250 18800896 23501120 29376400 36720500 47002240 58752800 73441000 94004480 117505600 146882000 235011200 293764000 470022400 587528000 1175056000 2350112000