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201234000 = 24353113049
BaseRepresentation
bin10111111111010…
…01011001010000
3112000122202011010
423333221121100
5403003442000
631545050520
74662314022
oct1377513120
9460582133
10201234000
11a36560a0
1257486a40
13328c9b96
141ca24012
15129eed50
hexbfe9650

201234000 has 160 divisors (see below), whose sum is σ = 707990400. Its totient is φ = 48768000.

The previous prime is 201233999. The next prime is 201234013. The reversal of 201234000 is 432102.

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

It is a congruent number.

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, 64476 + ... + 67524.

It is an arithmetic number, because the mean of its divisors is an integer number (4424940).

Almost surely, 2201234000 is an apocalyptic number.

201234000 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 201234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353995200).

201234000 is an abundant number, since it is smaller than the sum of its proper divisors (506756400).

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

201234000 is a wasteful number, since it uses less digits than its factorization.

201234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201234000 is about 14185.6970220007. The cubic root of 201234000 is about 586.0038284024.

Adding to 201234000 its reverse (432102), we get a palindrome (201666102).

The spelling of 201234000 in words is "two hundred one million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3049 3300 4125 4400 5500 6000 6098 6600 8250 9147 11000 12196 13200 15245 16500 18294 22000 24392 30490 33000 33539 36588 45735 48784 60980 66000 67078 73176 76225 91470 100617 121960 134156 146352 152450 167695 182940 201234 228675 243920 268312 304900 335390 365880 381125 402468 457350 503085 536624 609800 670780 731760 762250 804936 838475 914700 1006170 1143375 1219600 1341560 1524500 1609872 1676950 1829400 2012340 2286750 2515425 2683120 3049000 3353900 3658800 4024680 4192375 4573500 5030850 6098000 6707800 8049360 8384750 9147000 10061700 12577125 13415600 16769500 18294000 20123400 25154250 33539000 40246800 50308500 67078000 100617000 201234000