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2312142000 = 24353755051
BaseRepresentation
bin1000100111010000…
…0111110010110000
312222010200222112220
42021310013302300
514213402021000
61021233121040
7111203611530
oct21164076260
95863628486
102312142000
11a87164563
125463b9180
132ab03697c
1417d10d4c0
15d7ebe1a0
hex89d07cb0

2312142000 has 160 divisors (see below), whose sum is σ = 8519407104. Its totient is φ = 528480000.

The previous prime is 2312141981. The next prime is 2312142083. The reversal of 2312142000 is 2412132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14475 + ... + 69525.

Almost surely, 22312142000 is an apocalyptic number.

2312142000 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 2312142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259703552).

2312142000 is an abundant number, since it is smaller than the sum of its proper divisors (6207265104).

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

2312142000 is a wasteful number, since it uses less digits than its factorization.

2312142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55084 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2312142000 is about 48084.7377033503. The cubic root of 2312142000 is about 1322.3248744015.

Adding to 2312142000 its reverse (2412132), we get a palindrome (2314554132).

The spelling of 2312142000 in words is "two billion, three hundred twelve million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 55051 110102 165153 220204 275255 330306 385357 440408 550510 660612 770714 825765 880816 1101020 1156071 1321224 1376275 1541428 1651530 1926785 2202040 2312142 2642448 2752550 3082856 3303060 3853570 4128825 4404080 4624284 5505100 5780355 6165712 6606120 6881375 7707140 8257650 9248568 9633925 11010200 11560710 13212240 13762750 15414280 16515300 18497136 19267850 20644125 22020400 23121420 27525500 28901775 30828560 33030600 38535700 41288250 46242840 48169625 55051000 57803550 66061200 77071400 82576500 92485680 96339250 110102000 115607100 144508875 154142800 165153000 192678500 231214200 289017750 330306000 385357000 462428400 578035500 770714000 1156071000 2312142000