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2030322000 = 24353748341
BaseRepresentation
bin111100100000100…
…0100000101010000
312020111102001012010
41321001010011100
513124230301000
6533244502520
7101212311060
oct17101040520
95214361163
102030322000
11952077a73
12487b4aa40
13264832a85
1415390d3a0
15bd3a1d50
hex79044150

2030322000 has 160 divisors (see below), whose sum is σ = 7481021184. Its totient is φ = 464064000.

The previous prime is 2030321981. The next prime is 2030322001. The reversal of 2030322000 is 2230302.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17830 + ... + 66170.

Almost surely, 22030322000 is an apocalyptic number.

2030322000 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 2030322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740510592).

2030322000 is an abundant number, since it is smaller than the sum of its proper divisors (5450699184).

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

2030322000 is a wasteful number, since it uses less digits than its factorization.

2030322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48374 (or 48358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2030322000 is about 45059.0945315149. The cubic root of 2030322000 is about 1266.2563614121.

Adding to 2030322000 its reverse (2230302), we get a palindrome (2032552302).

The spelling of 2030322000 in words is "two billion, thirty million, three hundred twenty-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 48341 96682 145023 193364 241705 290046 338387 386728 483410 580092 676774 725115 773456 966820 1015161 1160184 1208525 1353548 1450230 1691935 1933640 2030322 2320368 2417050 2707096 2900460 3383870 3625575 3867280 4060644 4834100 5075805 5414192 5800920 6042625 6767740 7251150 8121288 8459675 9668200 10151610 11601840 12085250 13535480 14502300 16242576 16919350 18127875 19336400 20303220 24170500 25379025 27070960 29004600 33838700 36255750 40606440 42298375 48341000 50758050 58009200 67677400 72511500 81212880 84596750 96682000 101516100 126895125 135354800 145023000 169193500 203032200 253790250 290046000 338387000 406064400 507580500 676774000 1015161000 2030322000